Wavelet analysis is a recently developed mathematical tool in applied mathematics. A wavelet method for a class of space-time fractional Klein–Gordon equations with constant coefficients is proposed, by combining the Haar wavelet and operational matrix together and efficaciously dispersing the coefficients. The behavior of the solutions and the effects of different values of fractional order are graphically shown. The fundamental idea of the Haar wavelet method is to convert the fractional Klein–Gordon equations into a group of algebraic equations, which involves a finite number of variables. The examples are given to demonstrate that the method is effective, fast, and flexible; in the meantime, it is found that the difficulties of using the Daubechies wavelets for solving the differential equation, which need to calculate the correlation coefficients, are avoided.
Wavelet Method for a Class of Fractional Klein-Gordon Equations
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 12, 2011; final manuscript received May 10, 2012; published online July 23, 2012. Assoc. Editor: J. A. Tenreiro Machado.
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Hariharan, G. (July 23, 2012). "Wavelet Method for a Class of Fractional Klein-Gordon Equations." ASME. J. Comput. Nonlinear Dynam. April 2013; 8(2): 021008. https://doi.org/10.1115/1.4006837
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