Numerical solution of second order linear and non linear integro-differential equations by cubic spline collocation method
Taiwo O. A.1* and Gegele O. A.2
Short Communication | Published June 2014
Advancement in Scientific and Engineering Research, Vol. 2(2), pp. 18-22
1Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria.
2Department of Mathematics and Statistics, Federal Polytechnics, Bida, Nigeria.
*Corresponding author: E-mail:
tomotayoadebayo@yahoo.com
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In this paper, spline collocation methods are applied to solve linear and nonlinear Fredholm – integro-differential equations. Two spline collocation methods are presented in the paper and examples are used to illustrate the ability of the spline collocation methods. The results reveal that the proposed spline methods are very effective and simple and results obtained are compared favorably with known results in closed form solutions.
Keywords: Integro-differential equation, standard spline approximation, non-polynomial spline approximation, collocation.
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Citation: Taiwo OA, Gegele OA (2014). Numerical solution of second order linear and non linear integro-differential equations by cubic spline collocation method. Adv. Sci. Eng. Res. 2(2): 18-22
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