A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients

From MaRDI portal
Publication:666781

DOI10.1016/j.camwa.2016.06.007zbMath1412.65072OpenAlexW2460690371MaRDI QIDQ666781

Fawang Liu, L. B. Feng, Ian W. Turner, V. V. Anh, Pinghui Zhuang, Jing Li

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.06.007




Related Items (27)

A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equationsAn efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equationsDelay dynamic double integral inequalities on time scales with applicationsNew generalized Pólya-Szegö and Čebyšev type inequalities with general kernel and measureSpace-fractional diffusion equation with variable coefficients: well-posedness and Fourier pseudospectral approximationA finite difference method for space fractional differential equations with variable diffusivity coefficientThe upwind PPM scheme and analysis for solving two-sided space-fractional advection-diffusion equations in three dimensionEfficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficientsError estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivativesAn efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection-diffusion equationsA POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equationThe conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equationsApproximation methods for solving fractional equationsAlternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equationA novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficientsOn a second order scheme for space fractional diffusion equations with variable coefficientsFully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion EquationsDifferential quadrature method for space-fractional diffusion equations on 2D irregular domainsThe LMAPS for solving fourth-order PDEs with polynomial basis functionsA finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equationParallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equationsAn unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domainsNUMERICAL INVESTIGATION AND APPLICATION OF FRACTIONAL DYNAMICAL SYSTEMSVerification of convergence rates of numerical solutions for parabolic equationsOn Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integralsImpulsive multidirectional associative memory neural networks: New resultsStrong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems



Cites Work




This page was built for publication: A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients