Title of article :
polynomial collocation method for initial value problem of mixed integro-differential equations
Author/Authors :
Osilagun ، Johnson Adekunle Department of Mathematics - University of Lagos , Adesanya ، Adetola Olaide Department of Mathematics - Caleb University , Anake ، Timothy Ashibel Department of Mathematics - Covenant University , Adamu ، Samuel Department of Mathematics - Nigerian Army University
Abstract :
This paper presents the development and implementation of a numerical method for the solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations (MFVIDEs). The new technique transformed MFVIDEs into an integral equation which is then approximated using a polynomial collocation method. Standard collocation points are then used to convert the problem into a system of algebraic equations. Some numerical examples are used to test the efficiency of the method. The results show that the new method is efficient, accurate and easy to implement.
Keywords :
One dimensional Fredholm , Volterra equations , Integro , differential equations , Polynomial collocation , Standard collocation points , Integral equations
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
