Block backward differentiation formulas for fractional differential equations
From MaRDI portal
Publication:277601
DOI10.1155/2015/650425zbMath1382.65460OpenAlexW1904370558WikidataQ59109684 ScholiaQ59109684MaRDI QIDQ277601
Publication date: 2 May 2016
Published in: International Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/650425
Numerical methods for partial differential equations, boundary value problems (65N99) Fractional partial differential equations (35R11)
Related Items
A family of boundary value methods for systems of second-order boundary value problems ⋮ A computational study of the boundary value methods and the block unification methods for \(y = f(x, y, y')\) ⋮ High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation ⋮ Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers ⋮ On the recursive and explicit form of the general J.C.P. Miller formula with applications ⋮ A family of compact finite difference formulations for three-space dimensional nonlinear Poisson's equations in Cartesian coordinates ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain ⋮ Extrapolating for attaining high precision solutions for fractional partial differential equations
Cites Work
- Explicit methods for fractional differential equations and their stability properties
- On some explicit Adams multistep methods for fractional differential equations
- Cubic spline solution of two-point boundary value problems with significant first derivatives
- 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
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
- On multistep methods for differential equations of fractional order
- Solving systems of fractional differential equations using differential transform method
- Discretized Fractional Calculus
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
- Continuous finite difference approximations for solving differential equations
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Analysis of fractional differential equations
- Unnamed Item
- Unnamed Item
