scientific article; zbMATH DE number 7435992

zbMath1475.65158MaRDI QIDQ5013521

Abdelouahab Kadem, Ali Khalouta

Publication date: 30 November 2021

Full work available at URL: http://jprm.sms.edu.pk/a-new-efficient-method-for-time-fractional-sine-gordon-equation-with-the-caputo-and-caputo-fabrizio-operators/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Adomian decomposition methodCaputo fractional derivative operatorapproximate series solutionElzaki transformCaputo-Fabrizio fractional derivative operatortime-fractional sine-Gordon equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

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Cites Work

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• Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method
• Solution of nonlinear fractional differential equations using homotopy analysis method
• Partial differential equations and solitary waves theory
• A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation
• A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection-diffusion equation
• A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations
• Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms
• A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions
• A new numerical technique for solving Caputo time-fractional biological population equation
• A fourth order non-polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
• Extended cubic B-splines in the numerical solution of time fractional telegraph equation
• A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms
• Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations
• A new algorithm for calculating Adomian polynomials
• Method for Solving the Sine-Gordon Equation in Laboratory Coordinates
• The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
• An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation
• New analytical method for solving nonlinear time-fractional reaction-diffusion-convection problems