Modified Differential Transform Method for Two Singular Boundary Values Problems
Abstract
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We investigate the convergence properties of single and multiple shooting when applied to singular boundary value problems. Particular attention is paid to the well-posedness of the process. It is shown that boundary value problems can be solved efficiently when a high order inte
Two Galerkin type piecewise polynomial approximation procedures based on bilinear forms with different weight functions are analyzed and compared. Optimal order error estimates are proved and numerical results are presented.
Abstract We implement the unified transform method of Fokas as a numerical to solve linear evolution partial differential equations on half-line. The computes solution at any $x$ and $t$ without spatial discretization or time stepping. With help contour deformations oscillatory i