LINEAR AND NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS: APPLICATION OF COLLOCATION METHOD FOR SOLUTION

Document Type : Regular research papers

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1 Department of Mathematics and Statistics, Federal University Wukari, Taraba State

2 Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.

3 Department of Mathematics, University of Ilesa, Ilesa, Osun State, Nigeria.

4 Federal College of Dental Technology and Therapy, Enugu, Nigeria

Abstract

This work examines the collocation approach used to solve linear and nonlinear Fredholm integro- differential equations numerically. To convert the problem into an algebraic system of equations, standard collocation points are used. The algebraic equations were then solved using the matrix inversion approach. The method's uniqueness was established, and its efficiency, accuracy, and consistency were demonstrated through the solution of numerical problems.
This work examines the collocation approach used to solve linear and nonlinear Fredholm integro- differential equations numerically. To convert the problem into an algebraic system of equations, standard collocation points are used. The algebraic equations were then solved using the matrix inversion approach. The method's uniqueness was established, and its efficiency, accuracy, and consistency were demonstrated through the solution of numerical problems.
This work examines the collocation approach used to solve linear and nonlinear Fredholm integro- differential equations numerically. To convert the problem into an algebraic system of equations, standard collocation points are used. The algebraic equations were then solved using the matrix inversion approach. The method's uniqueness was established, and its efficiency, accuracy, and consistency were demonstrated through the solution of numerical problems.

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