Shifted fractional Legendre spectral collocation technique for solving fractional stochastic Volterra integro-differential equations
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DOI: 10.1007/s00366-020-01263-w
Abstract: This paper presents a spectral collocation technique to solve fractional stochastic Volterra integro-differential equations (FSV-IDEs). The algorithm is based on shifted fractional order Legendre orthogonal functions generated by Legendre polynomials. The shifted fractional order Legendre–Gauss–Radau… read more here.
Keywords: shifted fractional; collocation technique; fractional stochastic; collocation ... See more keywords
Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems
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DOI: 10.1038/s41598-024-58493-x
Abstract: In this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented. Collocation technique for shifted Chebyshev of the second kind with… read more here.
Keywords: time; power series; shifted chebyshev; time fractional ... See more keywords
Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique
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DOI: 10.1186/s13661-024-01956-x
Abstract: This study presents a novel numerical approach for approximating the solution of third-order pseudo-parabolic partial differential equations (PDEs), which exhibit both parabolic and hyperbolic characteristics. The proposed method employs a cubic trigonometric tension B-spline collocation… read more here.
Keywords: order pseudo; order; pseudo parabolic; collocation technique ... See more keywords
Fractional Clique Collocation Technique for Numerical Simulations of Fractional-Order Brusselator Chemical Model
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DOI: 10.3390/axioms11110654
Abstract: The primary focus of this research study is in the development of an effective hybrid matrix method to solve a class of nonlinear systems of equations of fractional order arising in the modeling of autocatalytic… read more here.
Keywords: fractional order; order; clique; collocation technique ... See more keywords