Application of Simpson's method for solving singular Volterra integral equation

Mustapha  YAHAYA; Sirajo Lawan  BICHI

doi:10.26637/mjm904/004

Abstract

In this paper, the numerical scheme for solving singular Volterra integral equation is obtained by considering non-variable subinterval and the function under the integrals were approximated by the Simpson's rule. The error bound for the numerical scheme is established where the scheme derived has convergence of order 3. The scheme obtained is compared with exact solution of the tested problems which shows that the scheme is effective.

Keywords:

Singular Volterra integral equation, convergence order, Simpson's rule, exact solution, error bound

Mathematics Subject Classification:

45D05

Authors Imprint References Funding Related Articles Downloads

Mustapha YAHAYA Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa, Nigeria.
Sirajo Lawan BICHI Department of Mathematical Sciences, Faculty of Science, Bayero University Kano, Kano, Nigeria.

Pages: 206-215
Date Published: 01-10-2021
Vol. 9 No. 04 (2021): Malaya Journal of Matematik (MJM)

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