Numerical solution of variable fractional order advection‐dispersion equation using Bernoulli wavelet method and new operational matrix of fractional order derivative
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DOI: 10.1002/mma.6164
Abstract: In this article, the Bernoulli wavelet method is used to solve the space‐time variable fractional order advection‐dispersion equation. The equation contains Coimbra time fractional derivatives with variable order of γ1(x) as well as the Riemann‐Liouville… read more here.
Keywords: advection dispersion; order; dispersion equation; fractional order ... See more keywords
A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations
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DOI: 10.1142/s0219876217500220
Abstract: In this paper, Bernoulli wavelet method has been developed to solve nonlinear weakly singular Volterra integro-differential equations. Bernoulli wavelets are generated by dilation and translation of Bernoulli polynomials. The properties of Bernoulli wavelets and Bernoulli… read more here.
Keywords: nonlinear weakly; wavelet method; method; bernoulli wavelet ... See more keywords