Local Annihilation Method ‎and‎ Some Stiff ‎Problems

Document Type : Research Paper

Authors

1 Department of Mathematics, Maragheh Branch, Islamic Azad University, Maragheh, Iran.

2 Department‎ of Mathematical Sciences and Computer, Kharazmi University, Tehran, ‎Iran‎.

Abstract

In this article‎, ‎a new scheme inspired from collocation method is‎ ‎presented for numerical solution of stiff initial-value problems and Fredholm integral equations of the first kind based on the derivatives of residual function‎. ‎Then‎, ‎the error analysis‎ ‎of this method is investigated by presenting an error bound‎. ‎Numerical comparisons indicate that the‎ ‎presented method yields accurate approximations in many‎ ‎cases in which the collocation method is ‎failed.

Keywords

References

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International Journal of Industrial Mathematics
Volume 12, Issue 1
January 2020
Pages 23-30

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