Numerical analysis of the one-dimensional heat equation subject to a boundary integral specification |
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Authors: | B Soltanalizadeh |
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Institution: | Member of Young Researchers Club, Islamic Azad University, Sarab Branch, Sarab, Iran |
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Abstract: | In this research a numerical technique is developed for the one-dimensional heat equation that combines classical and integral boundary conditions. New matrix formulation techniques with arbitrary polynomial bases are proposed for the numerical/analytical solution of this kind of partial differential equation. We give a simple and efficient algorithm based on an iterative process for numerical solution of the method. |
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Keywords: | 35Lxx 35Qxx |
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