SUMUDU-BERNSTEIN SOLUTION OF DIFFERENTIAL, INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS

  • Vanenchii Peter Ayoo Department of Mathematics, Federal University of Lafia, PMB 146 Lafia,
  • Terhemen Aboiyar Department of Mathematics, Joseph Sarwuan Tarka University, PMB 2373 Makurdi,
  • Samuel Tarkaa Swem Department of Mathematics, Joseph Sarwuan Tarka University, PMB 2373 Makurdi,

Abstract

A numerical method based on the inverse Sumudu transform and the Bernstein polynomials operational matrix of integration is developed. The derived method is implemented in solving linear differential, integral and integro-differential equations. Also, a procedure for overcoming nonlinearity is developed and implemented to solve nonlinear Volterra integral equations. The approximate results are compared with the exact solutions and an existing method. Error estimation shows that the proposed method has elevated level of accuracy for just a few terms of the polynomial.  

 

Published
2022-12-30
Section
ARTICLES