Department oF Mathematics and Statistics

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    Perturbed Galerkin Method for Solving Integro- Differential Equations
    (Hindawi, 0002-04-15) K. Issa; J.Biazar; T.O. Agboola; T. Aliu
    In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as ba- sis functions which transform the integro-differential equation into a system of linear equations. The system of linear equations are then solved to obtain the approximate solution. Examples to justify the effectiveness and accuracy of the method are pre- sented and their numerical results are compared with Galerkin’s method, Taylor’s series method and Tau’s method which provide validation for the proposed approach. The errors obtained justify the effectiveness and accuracy of the method.
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    Semigroups in Automata
    (Development Universal Consortia, 2008-12-01) Adeshola, A. D., Makanjuola, S. O. and Kehinde, R.
    Tirere srs fkr"se types of fkeorefiee! rfi*€hit?€s ffiGt??ct'y Fini.; Aafsm*fa, F;;:;!tdo*rtn Au?ornsfa erad Twriaing fd*e&i;lss, ffetii of fhes* rt;e'.,:?ifi€E has Ci{ferenf e*p*biii;'y fo r*e*g.tr; ' symbafs a*'d p*fferns. frc ?his work, e,ye t'a*ked af fke s/mpf*;;;' sf fkese fk;"aa maehines" fhaf is, fhc Finite Awfa*r*f* €F?d';,;€ drew a ,*eief ic,,rtsftip beWLen if sn fhe fheory of S*migrat. . Erea Sem$reu#s i* Fsrfi€aisr.
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    Groups and Subgroups in Cryptography
    (University of Lagos, 2009) Adeshola, A.D.; T. Aliu
    This study looks into the Mathematical applications of groups and subgroups in cryptography through Eulier’s Phi Function and Lagrange’s theorem with some definitions, theorems, illustrations and examples.
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    On the Idempotent Elements of Semigroups of Injective Contraction Mappings
    (Development Universal Consortia, 2009-12-01) Kehinde, R., Makanjuola, S. O. and Adeshola, A. D.
    This paper studies the idempotents of the semigroups of injective contraction mappings(E(IONT_n) where n=1, 2. 3, 4. All the idempotent elements of partial 1 - 1 transformation semigroups are contraction mappings. Hence, |(E(IONT_n)|= 2^n = |(E(T_n)|.
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    Groups and Semigroups in Cryptography
    (Development Universal Consortia, 2009-12-01) Adeshola, A. D and Aliu, T.
    'lltis studg looks into the Malhematical applications of grauiss and subgraups in crgptograplry through trulier,s phi ?\;rtctiott antd Lagrange's Theorem with some Cefi qitians, thearems, illustrations arud examples,
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    Cryptography and Encryption
    (University of Lagos, 2010) Adeshola, A.D.; T. Aliu
    There is a strong need to devise new encryption mechanisms (algorithms) that offer enhanced security assurance, and guarantee the security of information transm itted over computer networks. This has generated a lot of interst, and has made cryptography an area of intrest in research all over the world today. In this study, we study Cryptography through the Euclid’GCD Algorithm Principle.
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    An analogue of the tau method for ordinary differential equation
    (2010) K. Issa; R. B. Adeniyi
    In this paper, we construct three orthogonal polynomials which are incorporated into the perturbation term of a numerical scheme analogue to the Ortiz recursive formulation of the Lanczos tau method. The method was implemented on some selected problems and the accuracy obtained justifies the desirability of the numerical scheme.
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    Cryptography and Encryption: Euclid’s GCD Algorithm
    (Development Universal Consortia, 2010-05-01) Adeshola, A. D. and Aliu, T.
    There is a strong to devise new encryption mechanisms(algorithms) that offer enhanced security assurances, and guarantee the security of information transmitted over computer networks. This has generated a lot of interest and has made cryptography an area of interest in research all over the world today. In this study, we study cryptography through the Eclid's GCD Algorithm principle.
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    Application of linear programming problem on cost minimization on fish feeds
    (African Journal online, 2011) A.O. Adeoye; A.K. Dotia; M.O. Agboola; T.O. Aliu
    This research, application of linear programming problem on cost minimization on fish feeds was aimed to minimize the cost of production of fish feeds. The data used was collected using both primary and secondary data. Linear programming problem was used to analyzed the data and the optimum solution was obtained at 5th iterations with fingerlings feeds to be 8/9 of tons and growers feeds to be 10/9 tons and the minimum cost of producing the tones of fingerlings and growers is N498, 675.60. We then recommend that any fish farmer who really wants to embark on efficient and effective fish production should use linear programming problem to determine the minimums cost of production. In other to maximizes their profits
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    Syntax Recognition in Semi groups
    (University of Nairobi, 2011) Adeshola, A.D.; T. Aliu
    In this paper, we establish the fact that decimal integers are formed from the ten decimal or denary digits 0, …,9; English words are formed from the 26 letters of English alphabet (or 52 if we distinguish between lower and upper case); English sentences are formed from the finite, but large number of English words[2]. This prelimnary study has attempted a description of a core aspect of both Syntax and Semigroup. It endeavours to succintly explain what syntax entails and in chronological norder, a review of major thoughts on syntax evaluation is highlighted. As a way of finding possible areas of relationship in the curious presence of Syntax and Semigroup, section one explains the relationship through logarithm, setion two equally looks at the syntatic nature of prefix, suffix and subwords, and in section three, results are analyzed and finally, conclusion are discussed in section four.
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    Establishing the Nexus of Syntactic Communication between English and Mathematics: An Introduction
    (Pan-African Book Company in Association with JIMST, 2011-05-01) Iliyas, A. A. and Adeshola, A. D.
    ['he r.rnclerl-r'itr g coticcpl of lhis u'ork is to atlelrpt a clear descliption of- basic s.vlt tactic featur"es in Engii: langtrage arrd h4athcrrl arics. [his shal] be done in sLrqh descriPii ve lorttrs u'hich rv i11 eirable rioll-sLreciali hindsight into u'ha1 rl both fielcis srntax entail' ln ordei to acltieve this feat. the use of Atitot:"a' mathelnatical llteorr' s intended tc, he displayed in poirttitrg or-r1 siltiilarities in the analYsis ci slrntaqt . l-.1-- ,.,,,1 i. []rrr,': '., I \41-rlhq1121]C5 colnill- lou'evet'. c ot.l'tl.i 1e1e Sriltiiit,-rde tlla'' ! ri!.ir-, lt) CL)Iiic U-'' Lrtii Litrs Prelirnirtar-Y anal-vtical 3rr. ,i1-' for.ind in English arrcl lr4athetlatics i.r dcsjgned to spore furlher the acadell ic quest into Possibie areas colt\rergell ce Lretri'eelr the tu,o seentillg parallel subjects' The implication of the foregoing is lirat it is a bold step tou'ards tackling the difficulty ellsounter-ed in t studv and aPPlication of the tu,o subiects. When linguisti c colllpot'lellts are mathetlatically exprlair red' it is doLrbt. a bridgc ol the gu lf betu'een scier:tifica ,N . Cortversely ll), oriented issrtes and tlteir corresllotl ding linguistic moc throtrgh r'.lrich lhe-v are erPre ssed the stud\r pro\/ ides a vista fol' figrlre-P1i obic indl;u'idu uithav ierv to devclolling inqirisitii'c intelest in tlre knou'ledge of N4 allremalic-q
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    Syntax Recognition in Semigroups
    (Devon Science Company Publication, 2011-12-01) Adeshola, A. D and Aliu, T.
    or clenary cligits 0, ... ,9 . Englis alphcbet (or 57 if we clistiitl4rish behveen lov,er and uppercase): English sentences ore forntecl frotn tlte finile, btrr lctrge nttmber, of English words[2J ' Tltis prelimitturv sludy I 'ts t 'o,,r,,,p,ud a deslription af ctioye aspe1 of both Synta* and Semigroup' It endeavors la strccittctly explctin tvhctt st'rrlax entciils cmd in chronolagical order, a revie-tv of mcrjor -thn,ghti on'syntax evalticttion is hightightecl. As I vvay oJ'fincling possible arerts oJ ,nlaiiorrhip irt tlte ctrricttrs ])t'esellce o1 Syntax cttd Semigrottp , section one exploins lhe relctionsl.ip rhrottgh logc,iithm ctlgorirhm, section two equally looks at the syittctciic tnature of'prefix, iffir"o,,rt sitb+vird. ancl \t section three, re.stilts are cmalyzed rutd Jinalty, conclttsion are discttssed in sectionfowl'
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    Qualitative Study of Biological Pest Control System
    (Asian Journal of Mathematics and Statistics, 2012-11-23) Aderinto, Y. O.; Bamigbola, O.M.; Jimoh,F.M.; Ganiyu, M.A.; Aliu, T.
    Agricultural pests are the insects that feed on crops and damaged them. Most current agricultural pest control methods focused on chemical insecticides. Research works have shown that these chemicals have many disastrous consequences. However, effective control of these pests can be obtained through the use of living organisms to reduce the density of pest below economic damaging level and this is refers to as biological pest control. If a mathematical model for the biological system is provided, then the effects of such pests can be controlled by the methods of optimal control theory. In this study, the biological control of agricultural pest system via optimal control theory approach was qualitatively studied. In an attempt to minimize the pest population below injury level and stabilize the natural enemies’ population. The system was analysed, equilibrium point for the system was determined, stability and economic loss free equilibrium was equally established. Numerical values were employed to check for the validity of the method and the result was found to be effective.
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    STATECRAFT: Laying the Foundation for Modern Development.
    (Kwara State University Press, 2012-12-01) Kolawole, D. O and Adeshola, A. D.
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    Some Properties Of Symmetric Inverse Semigroup and Some Of it's Subsemigroup
    (Mathematical Association Of Nigeria(MAN), 2013) Ibrahim, G.R.; Bakare, G.N.
    In this paper, we studied the number of Nilpotent elements of order-preserving one-one partial transformation semigroup and number of Nilpotent elements of order decreasing +order preserving partial transformation semigroup . also, we showed that every idempotent of partial one-one transformation semigroup is contraction mapping.
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    Combinatorics Properties of Order-preserving Full Contraction Transformation Semigroup by Their Equivalence Classes
    (Department of Mathematics and Statistics, University of Victoria, Canada., 2013) Ibrahim, G. R; Makanjuola, S. O
    In this paper the cardinalities of equivalence classes of starred Green’s relations in order-preserving full contraction transformation semigroup of a finite set(OCT) and the elements in each equivalence classes were investigated. For each class tables were formed, elements were arrange based on their kernel and image sets, patterns of arrangement observed and formulae were deduced in each case through the combinatorial principles.
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    Economic Analysis and Modelling of Effects of NPK Fertilizer Levels on Yield of Yam
    (Journal of Mathematical Theory and Modeling, 2013) Olorede K. O.; Alabi M. A.
    This paper presents statistical analyses of effects and efficacies of NPK fertilizer levels on yield of four differentspecies of yam in three different locations of kwara state Nigeria. Four quantitative and equally spaced levels0kg/ha, 22.5kg/ha, 45kg/ha and 76kg/ha respectively, of the fertilizer type were considered in the experiment.Factorial design model was used in collecting data sets on yield variables of the plant, using fixed effects, in anexperiment conducted by the Kwara Agricultural Development Project (KWADP) Ilorin, in the year 2012. Thefour varieties of yam examined included white yam, water yam, aerial yam and bitter yam respectively.Observations were taken from Ekan-Meje, Omu-Aran and Omupo locations of the state on a number of responsevariables namely, number of yam plants, number of yam tubers and weight (kg) of yam tubers. Beforeconducting ANOVA, the data sets were inspected for homogeneity of error variances using Fligner-Killeen testin the R statistical package. The test revealed that homoscedasticity assumption was not violated and Shapiro-Wilk test of normality was further used to check normality of the residuals arising from the ANOVA model. Theresponse variables were modelled with orthogonal polynomials so as be able to predict response yield atintermediate factor levels. Fertilizer level of 22.5kg/ha was found to be the most effective and economical forgrowing yam with the corresponding optimum yield.
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    Statistical Analysis of Optimum Phosphorous Fertilizer Requirement for Improved Yield Performance of Cowpea in Nigeria
    (Journal of Biology, Agriculture and Healthcare, 2013) Olorede K. O.; Aiyelabegan A. B.
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    Economic Selection of Efficient Level of NPK 16:16:16 Fertilizer for Improved Yield Performance of a Maize Variety in the South Guinea Savannah Zone of Nigeria
    (Journal of Mathematical Theory and Modeling, 2013) Olorede K. O.; Mohammed I. W.; Adeleke B. L.
    This study investigates effects of different levels of NPK 16:16:16 fertilizer on yield and performance of maize. Data sets were obtained from a study conducted at the University of Ilorin Teaching and Research Farm, faculty of Agriculture, University of Ilorin during the 2010 cropping season. The study was conducted on a maize variety (Swan-1-SR-Y) sourced from Federal Ministry of Agriculture and Water Resources, Abuja, Nigeria using a completely Randomized Design (RCBD) replicated three times. Application of the fertilizer type was done at two equal splits of 2 weeks after planting and immediately after tasseling using ring method of application. The appropriate analysis of variance (ANOVA) model was used to collect observations at 2 weeks interval from week 5 to week 15 after planting on growth variables such as plant height (kg), leaf area (cm2), number of leaves, cob weight (kg) and grain weight (kg) respectively at equally spaced levels 0kg/ha, 30kg/ha, 60kg/ha, 90kg/ha and 120kg/ha of the fertilizer type. Before conducting ANOVA, the data sets were inspected for homogeneity of error variances using Fligner-Killeen test in the R statistical package. Shapiro-Wilk test of normality was used to check normality of the residuals. The normal probability plot showed no indication of outliers and the largest standardized residual was within . NPK 16:16:16 fertilizer level 60 Kg/ha was found to be the most efficient and economical for improving growth and yield performance of the maize variety in the ecological zone. The optimum yield of the maize variety due to application of the NPK 16:16:16 fertilizer levels is in the 13th week after planting.
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    A GENERALIZED SCHEME FOR THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS BY THE RECURSIVE FORMULATION OF TAU METHOD
    (2013-05) K. Issa; R.B. Adeniyi
    The generalization of the recursive form of the tau method for both overdetermined and non-overdetermined ordinary differential equations of the initial value type is the main thrust of the work reported here. This will facilitate an automation of this variant of the method and consequently an efficient utilization of the technique. Results from the numerical experiment confirm the validity and effectiveness of the derived scheme.