A Linearised Three-Point Combined Compact Difference Method With Weighted Approximation For Nonlinear Time Fractional Klein-Gordon Equations
East Asian Journal on Applied Mathematics(2021)
摘要
A numerical method for nonlinear time fractional Klein-Gordon equations is studied. Discretising spatial and temporal variables by a combined compact difference and a weighted approximation, respectively, we develop a linearised method for the equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy of the method.
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关键词
Combined compact difference method, finite difference method, nonlinear time fractional Klein-Gordon equation
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