Local Annihilation Method ‎and‎ Some Stiff ‎Problems

Document Type : Research Paper


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

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


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.


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