Approximate Solution to First-order Integro-differential Equations Using Polynomial Collocation Approach

Journal of Applied & Computational Mathematics

article

Ganiyu Ajileye¹  F.A. Aminu¹ 

[1] Department of Mathematics and Statistics, Federal University Wukari

关键词: Integro-differential equations;    Collocation;    Power series polynomial;    Shifted chebyshev polynomial;   

DOI  :  10.37421/2168-9679.2022.11.486

来源: Hilaris Publisher

【 摘 要 】

In this study, power series and shifted Chebyshev polynomials are used as basis function for solving first order volterra integro-differential equationsusing standard collocation method. An assumed approximate solution in terms of the constructed polynomial was substituted into the class ofintegro-differential equation considered. The resulted equation was collocated at appropriate points within the interval of consideration [0,1] toobtain a system of algebraic linear equations. Solving the system of equations, by inverse multiplication, the unknown coefficients involved in theequations are obtained. The required approximate results are obtained when the values of the constant coefficients are substituted back into theassumed approximate solution. Numerical example are presented to confirm the accuracy and efficiency of the method.

【 授权许可】

Unknown