A high order numerical method and its convergence for time-fractional fourth order partial differential equations
From MaRDI portal
Publication:2284753
DOI10.1016/j.amc.2019.124727zbMath1433.65243OpenAlexW2974787634MaRDI QIDQ2284753
Pradip Roul, V. M. K. Prasad Goura
Publication date: 15 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.124727
stabilityconvergence analysiscollocationCaputo's derivativetime fractional equationsextic B-spline basis function
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (12)
Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique ⋮ Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ A sixth order optimal B-spline collocation method for solving Bratu's problem ⋮ A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation ⋮ Fully spectral‐Galerkin method for the one‐ and two‐dimensional fourth‐order time‐fractional partial integro‐differential equations with a weakly singular kernel ⋮ A numerical technique based on B‐spline for a class of time‐fractional diffusion equation ⋮ Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing ⋮ The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel ⋮ A compact finite difference scheme for fractional Black-Scholes option pricing model ⋮ Time-space spectral Galerkin method for time-fractional fourth-order partial differential equations ⋮ A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel ⋮ A hybrid collocation method for the computational study of multi-term time fractional partial differential equations
Cites Work
- Unnamed Item
- Sextic B-spline collocation method for solving Euler-Bernoulli beam models
- Solving the time-fractional Schrödinger equation by Krylov projection methods
- An \(O(h^6)\) numerical solution of general nonlinear fifth-order two point boundary value problems
- B-spline collocation for solution of two-point boundary value problems
- B-spline solution of non-linear singular boundary value problems arising in physiology
- Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- A practical guide to splines
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A new high-order numerical method for solving singular two-point boundary value problems
- Solution of two-dimensional time-fractional Burgers equation with high and low Reynolds numbers
- Orthogonal spline collocation method for the fourth-order diffusion system
- A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
- Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit
- A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems
- B-spline method for a class of singular two-point boundary value problems using optimal grid
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Compact finite difference scheme for the solution of time fractional advection-dispersion equation
- Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
- A mathematical model for atmospheric ice accretion and water flow on a cold surface
- Quintic spline technique for time fractional fourth-order partial differential equation
- The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface
- Sextic B‐spline collocation method for the modified Burgers' equation
- Numerical Multistep Approach for Solving Fractional Partial Differential Equations
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane–Emden problems
- Numerical solution of time-fractional fourth-order partial differential equations
- Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
- An optimal sixth‐order quartic B‐spline collocation method for solving Bratu‐type and Lane‐Emden–type problems
This page was built for publication: A high order numerical method and its convergence for time-fractional fourth order partial differential equations
