Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
From MaRDI portal
Publication:2307865
DOI10.1007/s40314-020-1137-5zbMath1449.65278OpenAlexW3012865863MaRDI QIDQ2307865
S. Sabermahani, Sohrab Ali Yousefi, Yadollah Ordokhani
Publication date: 25 March 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-1137-5
Numerical computation of solutions to systems of equations (65H10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (8)
Touchard wavelet technique for solving time-fractional Black-Scholes model ⋮ Application of two-dimensional Fibonacci wavelets in fractional partial differential equations arising in the financial market ⋮ Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique ⋮ A fast numerical method for fractional partial integro-differential equations with spatial-time delays ⋮ Spectral methods for solving integro-differential equations and bibiliometric analysis ⋮ Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials ⋮ An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative ⋮ A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
- The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
- Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
- Block pulse operational matrix method for solving fractional partial differential equation
- Variational iteration method for fractional heat- and wave-like equations
- An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
- Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation
- Numerical multi-scaling method to solve the linear stochastic partial differential equations
- Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
- Numerical investigation of the nonlinear modified anomalous diffusion process
- Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market
- Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- Application of wavelet collocation method for hyperbolic partial differential equations via matrices
- A collocation method for fractional diffusion equation in a long time with Chebyshev functions
- Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
- A hybrid functions approach for the Duffing equation
- Multivariate padé approximation for solving partial differential equations (PDE)
- Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients
- Muntz Systems and Orthogonal Muntz-Legendre Polynomials
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz‐Legendre wavelets
- General Fractional Derivatives
- A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations
- Transcendental Bernstein series for solving reaction–diffusion equations with nonlocal boundary conditions through the optimization technique
- A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
- Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
This page was built for publication: Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
