A Taylor Series Based Method for Solving a Two-dimensional Second-order Equation
نویسنده
چکیده
Abstract In this paper, we focus on the two-dimensional linear Telegraph equation with some initial and boundary conditions. We transform the model of partial differential equation (PDE) into a system of first order, linear, ordinary differential equations (ODEs). Our method is based on finding a solution in the form of a polynomial in three variables Un(x, y, t) = ∑n i=0 ∑n j=0 ∑n k=0 U(i, j, k)x iyjtk with undetermined coefficients U(i, j, k). The main idea of our process is based on the differential transformation method (DTM).
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