A reliable modification of the rectangular decomposition method

DOI10.1016/j.amc.2006.06.048zbMath1109.65118OpenAlexW2050463571MaRDI QIDQ865574

Zaid M. Odibat

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.048

zbMATH Keywords

Mittag-Leffler functionnumerical examplesfractional integralCaputo derivativefractional diffusion-wave equationsrectangular decomposition method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33)

Related Items (3)

Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation ⋮ Fractional wave equation with a frictional memory kernel of Mittag-Leffler type ⋮ New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving frontier problems of physics: the decomposition method
• The fundamental solutions for the fractional diffusion-wave equation
• Exact solutions for heat-like and wave-like equations with variable coefficients.
• An approximate solution for a fractional diffusion-wave equation using the decomposition method
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Analytical approximate solutions for nonlinear fractional differential equations
• Fractional-order diffusion-wave equation
• Completely monotone generalized Mittag-Leffler functions
• The fundamental solution of the space-time fractional advection-dispersion equation
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Rectangular decomposition method for fractional diffusion-wave equations
• Fractional diffusion and wave equations
• The fundamental solution of the space-time fractional diffusion equation
• New results on Adomian method
• New numerical study of Adomian method applied to a diffusion model
• Multidimensional solutions of time-fractional diffusion-wave equations
• Cauchy problems of fractional order and stable processes

This page was built for publication: A reliable modification of the rectangular decomposition method