A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations
DOI10.1515/tmj-2015-0020zbMath1342.80013OpenAlexW2258278005MaRDI QIDQ2517405
Orkun Tasbozan, Alaattin Esen, N. Murat Yagmurlu, Yusuf Ucar
Publication date: 18 August 2015
Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/tmj-2015-0020
collocation methodfinite element methodfractional diffusion-wave equationfractional diffusion equationcubic B-spline
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Fractional partial differential equations (35R11)
Related Items (21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- On the numerical solution of space-time fractional diffusion models
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- On the numerical solutions for the fractional diffusion equation
- An explicit numerical method for the fractional cable equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Wavelets method for the time fractional diffusion-wave equation
- Exact solutions for time-fractional diffusion-wave equations by decomposition method
This page was built for publication: A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations