Work

Numerical Solution of Volterra Integral Equation and its Error Estimates Via Spectral Method

Year: 2017

Type: article

Abstract: In this article, numerical solution of Volterra integral equations is considered. A new approach in the application of spectral method is proposed, wherein Chebyshev polynomial of the first kind serves as the basis function. Essentially, the method is based on the approach of series solution where coefficients of in the residual equations are correspondingly equated to yield system of equations. Expression for error estimates which effectively serves as upper bound for accrued errors is arrived at. To illustrate the accuracy and effectiveness of the method and its error estimates, numerical examples on some standard integral equations are given.

Source: American Scientific Research Journal for Engineering, Technology, and Sciences

Authors: S Olagunju Adeyemi, Oladotun Matthew Ogunlaran, A Ibrahim Adebisi

Institutions: Federal University Lafia, Bowen University, Oduduwa University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2613725108

FWCI:

Cites: 8

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Related to: 10