Design and analysis of efficient computational techniques for solving a temporal-fractional partial differential equation with the weakly singular solution
DOI10.1002/MMA.9744zbMATH Open1539.65111MaRDI QIDQ6543190
Publication date: 24 May 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
stabilityoption priceadaptive meshgraded meshcompact difference schemeweak regularityfractional convection-diffusion model
Numerical methods (including Monte Carlo methods) (91G60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- A compact difference scheme for the fractional diffusion-wave equation
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation
- The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
- Implicit difference approximation for the time fractional diffusion equation
- A compact finite difference method for solving a class of time fractional convection-subdiffusion equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Implicit finite difference approximation for time fractional diffusion equations
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method
- An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
- A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients
- A class of efficient difference method for time fractional reaction-diffusion equation
- Analytically pricing double barrier options based on a time-fractional Black-Scholes equation
- A finite element approximation for a class of Caputo time-fractional diffusion equations
- On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation
- A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method
- A high order numerical method and its convergence for time-fractional fourth order partial differential equations
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option
- The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids
- An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
- Grid equidistribution for reaction-diffusion problems in one dimension
- A trustable shape parameter in the kernel-based collocation method with application to pricing financial options
- A finite element method for time fractional partial differential equations
- Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- A high‐order B‐spline collocation scheme for solving a nonhomogeneous time‐fractional diffusion equation
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- A high order numerical scheme for solving a class of non‐homogeneous time‐fractional reaction diffusion equation
- Optimal uniform error estimates for moving <scp>least‐squares</scp> collocation with application to option pricing under jump‐diffusion processes
- 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
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