LINEAR AND NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS: APPLICATION OF COLLOCATION METHOD FOR SOLUTION | ||||
| Journal of Fractional Calculus and Applications | ||||
| Article 6, Volume 15, Issue 2, July 2024, Page 1-10 PDF (321.32 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/jfca.2024.265490.1064 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
GANIYU AJILEYE  1; Lydia Adiku2; Jonathan T. Auta2; Ojo O Aduroja3; TAIYE OYEDEPO4
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| 1Department of Mathematics and Statistics, Federal University Wukari, Taraba State | ||||
| 2Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria. | ||||
| 3Department of Mathematics, University of Ilesa, Ilesa, Osun State, Nigeria. | ||||
| 4Federal 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. | ||||
| Keywords | ||||
| Collocation; Fredholm; Integro-differential; Linear and nonlinear; Approximate solution | ||||
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