Sixth-kind Chebyshev spectral approach for solving fractional differential equations

From MaRDI portal
Publication:1739901

DOI10.1515/ijnsns-2018-0118OpenAlexW2913984069MaRDI QIDQ1739901

Waleed M. Abd-Elhameed, Youssri H. Youssri

Publication date: 29 April 2019

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0118




Related Items (27)

The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applicationsComputational study of multi-species fractional reaction-diffusion system with ABC operatorFractional \((3+1)\)-dim Jimbo Miwa system: invariance properties, exact solutions, solitary pattern solutions and conservation lawsNeoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulasAn efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysisPell collocation method for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernelA new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equationShifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problemsA class of computational approaches for simulating fractional functional differential equations via Dickson polynomialsNumerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation methodGeneralized Lucas polynomial sequence treatment of fractional pantograph differential equationAdvanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problemChebyshev wavelet-Picard technique for solving fractional nonlinear differential equationsUnnamed ItemOn Romanovski–Jacobi polynomials and their related approximation resultsEvaluating the impacts of thermal conductivity on Casson fluid flow near a slippery sheet: numerical simulation using sixth-kind Chebyshev polynomialsUnnamed ItemHypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equationsA novel approach for solving an inverse reaction-diffusion-convection problemCrank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equationsShifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equationsNumerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomialsChebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysisNew Aspects of Fractional Epidemiological Model for Computer Viruses with Mittag–Leffler LawOn variational approaches for fractional differential equationsAdvanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernelNew formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems


Uses Software


Cites Work


This page was built for publication: Sixth-kind Chebyshev spectral approach for solving fractional differential equations