Abstract
The singular boundary method (SBM) is employed to solve the two-dimensional telegraph equation on arbitrary domains. The Houbolt finite difference method is used to discretize the time derivatives. The original equations are then split into a system of partial differential equations, which is solved using the method of particular solution, in combination with the singular boundary method to obtain the homogeneous solution. Finally, three numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method.
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