A numerical approach for solving nonlinear fractional Klein–Gordon equation with applications in quantum mechanics
Kumbinarasaiah Srinivasa,
Mallanagoud Mulimani,
Waleed Adel
Abstract:In this paper, we propose a numerical approach for solving the nonlinear fractional Klein–Gordon equation (FKGE), a model of significant importance in simulating nonlinear waves in quantum mechanics. Our method combines the Bernoulli wavelet collocation scheme with a functional integration matrix to obtain approximate solutions for the proposed model. Initially, we transform the main problem into a system of algebraic equations, which we solve using the Newton–Raphson method to extract the unknown coefficients… Show more
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