Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations
نویسندگان
چکیده
منابع مشابه
Galerkin Finite Element Methods for Nonlinear Klein-gordon Equations
We consider Galerkin finite element methods for the nonlinear Klein-Gordon equation, giving the first optimal-order energy norm semidiscrete error estimates for non-Lipschitz nonlinearity. The result holds quite generally in one and two space dimensions and under a certain growth restriction in three. We also discuss some time stepping strategies and present numerical results.
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Abstract: Haar wavelet method for solving the Klein–Gordon and the sine-Gordon equations has been implemented. Application to partial differential equations is exemplified by solving the sine-Gordon equation. The efficiency of the method is demonstrated by five numerical examples. Computer simulation is carried out for problems the exact solution of which is known. This allows us to estimate th...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2016
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.03.007