The Method of Particular Solutions for Solving Certain Partial Differential Equations
نویسندگان
چکیده
A standard approach for solving linear partial differential equations is to split the solution into a homogeneous solution and a particular solution. Motivated by the method of fundamental solutions for solving homogeneous equations, we propose the similar approach using the method of particular solutions for solving linear inhomogeneous differential equations without the need of finding the homogeneous solution. This results to a much simpler numerical scheme with the similar accuracy as the traditional approach. To demonstrate the simplicity of the new approach, three numerical examples have been given with excellent results.
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