The Mol Solution for the One-dimensional Heat Equation Subject to Nonlocal Conditions
نویسنده
چکیده
In this paper,the problem of solving the one-dimensional equation ∂φ ∂t − ∂ 2φ ∂x2 = g(x, t) subject to given initial and nonlocal conditions by the method of lines(MOL). Firstly theory of application of MOL on heat equation presented. Secondly we considers some examples to show goodness of new method. Computational results using a code based on our method are presented for this examples. Mathematics Subject Clasification: 35K05, 65N06, 65N40, 65N22
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