Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

Farshid Mirzaee and Elham Hadadiyan

Applied Mathematics and Computation, 2015, vol. 250, issue C, 805-816

Abstract: In this work we approximate the solution of the linear Fredholm integral equations, by means of a new two-dimensional modification of hat functions (2D-MHFs) and a new operational matrix of integration. By this idea, the basic equations will be changed into the associated systems of algebraic equations. Also, an error analysis is provided under several mild conditions. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.

Keywords: Modification of hat functions; Fredholm integral equation; Operational matrix; Error analysis (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:805-816

DOI: 10.1016/j.amc.2014.10.128

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