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Licensed Unlicensed Requires Authentication Published by De Gruyter January 1, 2012

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

Sedaghat Shahmorad EMAIL logo , Abdollah Borhanifar and Babak Soltanalizadeh


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

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