The FD-method for solving nonlinear Klein-Gordon equation
arXiv:1203.59791 citationsh-index: 2
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Provides a new numerical method for solving a specific nonlinear PDE problem, but the impact is limited to computational mathematics.
The paper presents a functional-discrete method for solving the Goursat problem for nonlinear Klein-Gordon equation, achieving superexponential convergence under sufficient conditions. Numerical results confirm the theoretical findings.
In the paper we present a functional-discrete method for solving the Goursat problem for nonlinear Klein-Gordon equation. The sufficient conditions providing that the proposed method converges superexponentially are obtained. The results of numerical example presented in the paper are in good agreement with the theoretical conclusions.