Cubic B-spline Least-square Method Combine with a Quadratic Weight Function for Solving Integro-Differential Equations

  • Hameeda O. Al-Humedi Department of Mathematics, College of Education for Pure Sciences, Basrah University, Basrah, Iraq
  • Zahraa Adnan Jameel Department of Mathematics, College of Education for Pure Sciences, Basrah University, Basrah, Iraq
DOI: https://doi.org/10.34198/ejms.4120.99113
Keywords: B-spline method, least-square method, integro-differential equation, Von-Neumann

Abstract

In this article, a numerical scheme was implemented for solving the integro-differential equations (IDEs) with the weakly singular kernel by using a new scheme depend on the cubic B-spline least-square method and a quadratic B-spline as a weight function. The numerical results are in suitable agreement with the exact solutions via calculating L2 and Lāˆž norms errors. Theoretically, we discussed the stability evaluation of the current method using the Von-Neumann method, which explained that this technique is unconditionally stable.

Published
2020-04-21
How to Cite
Al-Humedi, H. O., & Jameel, Z. A. (2020). Cubic B-spline Least-square Method Combine with a Quadratic Weight Function for Solving Integro-Differential Equations . Earthline Journal of Mathematical Sciences, 4(1), 99-113. https://doi.org/10.34198/ejms.4120.99113
Issue
Vol 4 No 1 (2020)
Section
Articles


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