A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation
DOI10.1016/J.CAMWA.2014.03.008zbMath1366.74084OpenAlexW2097850019MaRDI QIDQ2364229
Hammad Khalil, Rahmat Ali Khan
Publication date: 18 July 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.03.008
numerical simulationLegendre polynomialsfractional partial differential equationsoperational matrices of integrationtwo-dimensional heat conduction equation
Plates (74K20) Thermal effects in solid mechanics (74F05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (39)
Cites Work
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- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- New operational matrix of integrations and coupled system of Fredholm integral equations
- A tau approach for solution of the space fractional diffusion equation
- Smoothed particle hydrodynamics: applications to heat conduction
- Exp-function method for nonlinear wave equations
- A new operational matrix for solving fractional-order differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
- On the history of multivariate polynomial interpolation
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
- A Legendre collocation method for fractional integro-differential equations
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- A new method based on legendre polynomials for solution of system of fractional order partial differential equations
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
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