Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials
DOI10.1007/s12190-022-01812-0zbMath1518.65103MaRDI QIDQ6138324
Saeid Abbasbandy, J. Hajishafieiha
Publication date: 5 September 2023
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
collocation methodCaputo fractional derivativenon-local boundary conditiontime-fractional diffusion\(a\)-polynomialsinverse fractional diffusion
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Methods of ordinary differential equations applied to PDEs (35A24) Fractional partial differential equations (35R11) Polynomial solutions to PDEs (35C11)
Cites Work
- Unnamed Item
- Unnamed Item
- Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
- An inverse problem for a fractional diffusion equation
- Spectral regularization method for solving a time-fractional inverse diffusion problem
- Fractional calculus models of complex dynamics in biological tissues
- Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Introduction to fractional differential equations
- A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain
- A new class of polynomial functions equipped with a parameter
- Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- An iteration regularization for a time-fractional inverse diffusion problem
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition
- Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
- A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
- Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
- Regularization for a fractional sideways heat equation
- A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations
- Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements
- Fractional thermoelasticity
- Recognition of a time-dependent source in a time-fractional wave equation
- Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations
- Reconstruction of a time-dependent source term in a time-fractional diffusion equation
- Boundary-value problems with non-local condition for degenerate parabolic equations
- Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
- Inverse source problem for a fractional diffusion equation
- Fractional Partial Differential Equations and Their Numerical Solutions
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- A meshless computational approach for solving two-dimensional inverse time-fractional diffusion problem with non-local boundary condition
- MLPG method based on particular solution to identify a time-dependent boundary source for the time-fractional diffusion equation
- Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order
- Fractional differentiation matrices with applications
- Fractional Calculus with Applications for Nuclear Reactor Dynamics
- An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
This page was built for publication: Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials