대한수학회지 (Journal of the Korean Mathematical Society)
- 제32권3호
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- Pages.541-551
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Numerical solution for nonlinear klein-gordon equation by bollocation method with respect to spectral method
초록
The nonlinear Klein Gordon equation $$ (1) \frac{\partial t^2}{\partial^2 u} - \Delta u + V_u(u) = f $$ where $\Delta$ is the Laplacian operator in $R^d (d = 1, 2, 3), V_u(u)$ is the derivative of the "potential function" V, and f is a source term independent of the solution u, in various areas of mathematical physics.l physics.