LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN

Journal of Applied Analysis & Computation ◽

10.11948/20180279 ◽

2020 ◽

Vol 10 (2) ◽

pp. 514-529 ◽

Author(s):

Fan Yang ◽

◽

Ni Wang ◽

Xiao-Xiao Li

Keyword(s):

Wave Equation ◽

Iterative Method ◽

Symmetric Domain ◽

Fractional Diffusion ◽

Spherically Symmetric ◽

Inverse Source Problem ◽

Diffusion Wave ◽

Problem Of Time

Download Full-text

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2021.1914603 ◽

2021 ◽

pp. 1-51

Author(s):

Fan Yang ◽

Qiao-Xi Sun ◽

Xiao-Xiao Li

Keyword(s):

Wave Equation ◽

Iterative Methods ◽

Initial Value Problem ◽

Symmetric Domain ◽

Fractional Diffusion ◽

Spherically Symmetric ◽

Initial Value ◽

Diffusion Wave ◽

Problem Of Time

Download Full-text

Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-019-00734-6 ◽

2019 ◽

Vol 83 (4) ◽

pp. 1509-1530 ◽

Author(s):

Fan Yang ◽

Yan Zhang ◽

Xiao-Xiao Li

Keyword(s):

Wave Equation ◽

Iterative Method ◽

Initial Value Problem ◽

Fractional Diffusion ◽

Initial Value ◽

Diffusion Wave ◽

Download Full-text

An iterative method for solving fractional diffusion‐wave equation involving the Caputo–Weyl fractional derivative

Numerical Linear Algebra with Applications ◽

10.1002/nla.2345 ◽

2020 ◽

Author(s):

Mohammadhossein Derakhshan ◽

Azim Aminataei

Keyword(s):

Wave Equation ◽

Iterative Method ◽

Fractional Derivative ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Weyl Fractional Derivative

Download Full-text

An iterative method for an inverse source problem of time-fractional diffusion equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2017.1417406 ◽

2017 ◽

Vol 26 (10) ◽

pp. 1509-1521 ◽

Author(s):

Jun-Gang Wang ◽

Yu-Hong Ran

Keyword(s):

Diffusion Equation ◽

Iterative Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Problem Of Time ◽

Time Fractional Diffusion Equation

Download Full-text

Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

Download Full-text

A fast element-free Galerkin method for the fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107529 ◽

2021 ◽

pp. 107529

Author(s):

Xiaolin Li ◽

Shuling Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Fractional Diffusion ◽

Element Free Galerkin Method ◽

Diffusion Wave ◽

Element Free Galerkin ◽

Download Full-text

Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1539481 ◽

2018 ◽

Vol 27 (11) ◽

pp. 1577-1594 ◽

Author(s):

Xuhong Gong ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

Time Dependent ◽

Download Full-text

Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

Download Full-text

Gauss-Lobatto-Legendre-Birkhoff pseudospectral approximations for the multi-term time fractional diffusion-wave equation with Neumann boundaryconditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22284 ◽

2018 ◽

Vol 34 (6) ◽

pp. 2217-2236 ◽

Author(s):

Haiyu Liu ◽

Shujuan Lü

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Download Full-text

A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.011 ◽

2019 ◽

Vol 376 ◽

pp. 1312-1330 ◽

Author(s):

Ruilian Du ◽

Yubin Yan ◽

Zongqi Liang

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Diffusion ◽

Diffusion Wave ◽

High Order Scheme ◽

Download Full-text