A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets
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DOI: 10.1007/s11075-021-01088-8
Abstract: The main aim of this research study is to present a new and efficient numerical method based on the second kind Chebyshev wavelets for solving the general form of distributed order fractional differential equations in… read more here.
Keywords: second kind; chebyshev wavelets; operational vector; based second ... See more keywords
A new approach based on using Chebyshev wavelets for solving various optimal control problems
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DOI: 10.1007/s40314-017-0419-z
Abstract: This paper presents a computational algorithm for solving optimal control problems based on state-control parameterization. Here, an optimal control problem is converted to an optimization problem, which can then be solved more easily. In fact,… read more here.
Keywords: approach based; control; chebyshev wavelets; new approach ... See more keywords
Chebyshev Wavelets Collocation Method for Extended Fisher Kolmogorov Equations One and Two Space Dimension
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DOI: 10.1007/s40819-021-01093-4
Abstract: In this study, Chebyshev wavelet collocation method has been applied to obtain approximate solution of nonlinear partial differential equations. Firstly, Chebyshev wavelets and Chebyshev wavelets collocation method have been mentioned and operational matrices of rth integration… read more here.
Keywords: extended fisher; method; chebyshev wavelets; wavelets collocation ... See more keywords
Modified Chebyshev wavelets approach for mixed convection flow due to oblique stagnation point along a vertically moving surface with zero mass flux of nanoparticles
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DOI: 10.1016/j.molliq.2021.117569
Abstract: Abstract In this article mixed convection flow of nanofluid near a vertical wall is studied for cases of active and passive control. Flow is governed by nonlinear Partial Differential Equations (PDEs), which are transformed into… read more here.
Keywords: modified chebyshev; flow; chebyshev wavelets; convection flow ... See more keywords
An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations
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DOI: 10.1080/00207160.2017.1346243
Abstract: ABSTRACT In this paper, a class of variable-order fractional convection diffusion equations have been solved with assistance of the second kind Chebyshev wavelets operational matrix. The operational matrix of variable-order fractional derivative is derived for… read more here.
Keywords: second kind; variable order; chebyshev wavelets; kind chebyshev ... See more keywords
Solution Method for Systems of Nonlinear Fractional Differential Equations Using Third Kind Chebyshev Wavelets
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DOI: 10.3390/axioms12060546
Abstract: Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic… read more here.
Keywords: system algebraic; kind chebyshev; chebyshev wavelets; using third ... See more keywords