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An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions

Sedaghat Shahmorad, Abdollah Borhanifar and Babak Soltanalizadeh

Abstract

In this paper, we utilize a matrix formulation for the heat equation with nonlocal boundary conditions. We give details of the method and verify the existence of a solution for the given equation under a new suitable condition. A simple and efficient algorithm is presented for the numerical results illustrating the accuracy of the method.

Received: 2010-06-13
Revised: 2011-05-04
Accepted: 2011-05-20
Published Online: 2012
Published in Print: 2012

© Institute of Mathematics, NAS of Belarus