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[TMJ] Pseudo-Dynamic Approach to the Numerical Solution of Nonlinear PDEs

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New THE MATHEMATICA JOURNAL article:


Pseudo-Dynamic Approach to the Numerical Solution of Nonlinear Stationary Partial Differential Equations

by ALEXEI BOULBITCH


ABSTRACT: This article presents a numerical pseudo-dynamic approach to solve a nonlinear stationary partial differential equation (PDE) S with bifurcations by passing from S to a pseudo-time-dependent PDE T. The equation T is constructed so that the desired nontrivial solution of S represents a fixed point of T . The numeric solution of S is then obtained as the solution of T at a high enough value of the pseudo-time.

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