ir.bowen.edu.ng:8181/jspui/handle/123456789/378 These are articles published in journals by academics staff 2026-04-22T01:30:35Z ir.bowen.edu.ng:8181/jspui/handle/123456789/1732 Title: Solution of certain Boundary-Value problems in a Semi-Finite Domain by Adomian Sumudu Transform Decomposition Method Authors: Akinola, E. I.; Ogunlaran, O. M. Abstract: This paper present a simple modification of Sumudu Transform Method for the solution of the generalized extended Blasius equation with the two forms of boundary conditions. Pade approximation is used to deal with the first form of boundary conditions while Wang Transformation and Pade approximation are used for the second form of boundary conditions. Adomian Polynomials are employed to decompose the nonlinear terms involved. Comparison of the result obtained with the existing results show the reliability and effectiveness of the method. 2017-01-01T00:00:00Z ir.bowen.edu.ng:8181/jspui/handle/123456789/1451 Title: An Integral Transform-Weighted Residual Method for Solving Second Order Linear Boundary Value Differential Equations with Semi-Infinite Domain Authors: Akinola, E. I.; Oderinu, R. A.; Alao, S.; Opaleye, O. E. Abstract: Solving boundary value problem with semi-infinite domain in a conventional way or using some of the available approximate methods poses a lot of challenges or better still seems almost impossible over the years, and some of the alternative ways for crossing this hurdle is by fixing value for infinity that is in the domain. Here in this work, we present an Integral Transform (Aboodh Transform) - Weighted Residual Based Method (AT-WRM) to address the afore-mentioned challenge. Aboodh Transform was used to transform and at the same time used to find the inverse of the given differential equations while Weighted Residual via Collocation Method was used in order to avoid fixing value for infinity as usual by introducing e−ix in trial function to decay the infinity that was part of the boundary condition. The accuracy of the presented method was authenticated by solving three different problems. The excellent results obtained from the three solved problems validate the accuracy and effectiveness of the method 2022-01-01T00:00:00Z ir.bowen.edu.ng:8181/jspui/handle/123456789/1435 Title: A 4-Step Hermite based Multiderivative block integrator for solving fourth order ordinary differential equations Authors: Ogunlaran, O. M.; Kehinde, M. A. Abstract: A - 4 step block method was formulated with Hermite Polynomials as basis function. Discrete schemes were developed from continuous schemes obtained using interpolation and collocation techniques to derive the block. The order, consistency, zero stability and convergence of the method were investigated. The numerical results obtained from the two test problems show that the method performs better than some existing methods in the literature in term of accuracy and efficiency. 2022-01-01T00:00:00Z ir.bowen.edu.ng:8181/jspui/handle/123456789/1433 Title: A new block integrator for second order initial value problems Authors: Ogunlaran, O. M.; Kehinde, M. A. Abstract: A 4-step block integrator using Hermite polynomial as basis function for the solution of general second-order initial value problems is developed through interpolation and collocation procedures. The consistency, stability and convergence characteristics of the proposed methods are examined. Some linear and nonlinear test problems in literature are used for the numerical experimentation and the results obtained show the superiority of the method in comparison with some existing methods. 2022-01-01T00:00:00Z