Fourth-Order Method for Non-Homogeneous Heat Equation with Nonlocal Boundary Conditions
نویسندگان
چکیده
Abstract In this paper a fourth-order numerical scheme is developed and implemented for the solution of non-homogeneous heat equation ut = uxx + q(x, t) with integral boundary conditions. The results obtained show that the numerical method based on the proposed technique is fourth-order accurate as well as L-acceptable. Also the efficiency and the accuracy of the new scheme is in good agreement with the exact ones as compared to the alternative techniques existing in the literature.
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