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Solving Ordinary Differential Equations with Evolutionary Algorithms

Open Journal of Optimization 2015年第3期4卷 69-73页

作者： bakre omolara fatimah Wusu Ashiribo Senapon Akanbi Moses Adebowale Department of Mathematics Federal College of Education (Technical) Lagos Nigeria Department of Mathematics Lagos State University Lagos Nigeria

In this paper, the authors show that the general linear second order ordinary Differential Equation can be formulated as an optimization problem and that evolutionary algorithms for solving optimization problems can also be adapted for solving the formulated problem. The authors propose a polynomial based scheme for achieving the above objectives. The coefficients of the proposed scheme are approximated by an evolutionary algorithm known as Differential Evolution (DE). Numerical examples with good results show the accuracy of the proposed method compared with some existing methods.

关键词： Evolutionary Algorithm Differential Equations Differential Evolution Optimization

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On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method

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Applied Mathematics 2015年第4期6卷 694-699页

作者： Ashiribo Senapon Wusu Moses Adebowale Akanbi bakre omolara fatimah Department of Mathematics Lagos State University Lagos Nigeria Department of Mathematics Federal College of Education (Technical) Lagos Nigeria

In recent times, the derivation of Runge-Kutta methods based on averages other than the arithme-tic mean is on the rise. In this paper, the authors propose a new version of explicit Runge-Kutta method, by introducing ... 详细信息

关键词： Explicit Harmonic Runge-Kutta Autonomous

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An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs)

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Journal of Applied Mathematics and Physics 2020年第9期8卷 1729-1735页

作者： omolara fatimah bakre Ashiribo Senapon Wusu Moses Adebowale Akanbi Department of Mathematics & Statistics Federal College of Education (Technical) Lagos Nigeria Department of Mathematics Lagos State University Lagos Nigeria

Interest in the construction of efficient methods for solving initial value problems that have some peculiar properties with it or its solution is recently gaining wide popularity. Based on the assumption that the solution is representable by nonlinear trigonometric expressions, this work presents an explicit single-step nonlinear method for solving first order initial value problems whose solution possesses singularity. The stability and convergence properties of the constructed scheme are also presented. Implementation of the new method on some standard test problems compared with those discussed in the literature proved its accuracy and efficiency.

关键词： Ordinary Differential Equations First Order Initial Value Problems Nonlinear Singularities

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On the Equivalence of Implicit Kirk-Type Fixed Point Iteration Schemes for a General Class of Maps

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Journal of Applied Mathematics and Physics 2019年第1期7卷 123-137页

作者： Alfred Olufemi Bosede Hudson Akewe omolara fatimah bakre Ashiribo Senapon Wusu Department of Mathematics Lagos State University Ojo Nigeria Department of Mathematics University of Lagos Akoka Nigeria Department of Mathematics & Statistics Federal College of Education (Technical) Akoka Nigeria

In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established. It was also shown that the convergence of this iteration scheme is equivalent to the convergency of some other implicit Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit Kirk-Mann iterations) for the same class of maps. Some numerical examples were considered to show that the equivalence of convergence results to the fixed point is true. The results unify most equivalence results in literature.

关键词： Implicit Kirk-Multistep Implicit Kirk-Mann Iterations Strong Convergence Equivalence General Class of Maps

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