Standard Collocation and Perturbed Collocation Methods for Solving Linear Volterra Integro Differential Equations
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Date
2021
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Ibrahim Badamasi Babangida University, Lapai.
Abstract
This project deals with the numerical approximation of linear fourth order integro differentia equations. The numerical methods consider are standard collocation and perturbed collocatio methods using shifted chebyshev polynomial as basis function. The result obtained shows tha perturbed collocation method proved to have a better approximation than that of standarc collocation methods in the cases considered. Three examples are considered to illustrat efficiency method.
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Standard Collocation, Perturbed Collocation, Integro-Differential Equation