Application of weighted homotopy analysis method to solve an inverse source problem for wave equation
From MaRDI portal
Publication:4988510
DOI10.1080/17415977.2018.1442447zbMath1471.65125OpenAlexW2799581574MaRDI QIDQ4988510
No author found.
Publication date: 17 May 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2018.1442447
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Wave equation (35L05) Series solutions to PDEs (35C10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem
- Approximate analytical solutions of the nonlinear reaction-diffusion-convection problems
- Globally convergent homotopy methods: A tutorial
- Recovering the initial state of an infinite-dimensional system using observers
- Solving the inverse problem of identifying an unknown source term in a parabolic equation
- Solving an inverse problem for the wave equation by using a minimization algorithm and time-reversed measurements
- Notes on the homotopy analysis method: some definitions and theorems
- A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations
- The homotopy analysis method for multiple solutions of nonlinear boundary value problems
- A series solution of the nonlinear Volterra and Fredholm integro-differential equations
- Predictor homotopy analysis method and its application to some nonlinear problems
- A new spectral-homotopy analysis method for solving a nonlinear second order BVP
- A weighted algorithm based on the homotopy analysis method: application to inverse heat conduction problems
- Joint state and parameter estimation for distributed mechanical systems
- Modern homotopy methods in optimization
- \(T\)-stability of Picard iteration in metric spaces
- Approximate analytical solutions of systems of PDEs by homotopy analysis method
- A study on the PDEs with power-law nonlinearity
- Approximate solutions to a parameterized sixth order boundary value problem
- An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
- A numerical algorithm for solving inverse problems of two-dimensional wave equations
- A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation
- Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
- Uniqueness and stability in multidimensional hyperbolic inverse problems
- The decomposition approach to inverse heat conduction
- On the homotopy analysis method for nonlinear problems.
- Probability-one homotopies in computational science
- Solution of the one-phase inverse Stefan problem by using the homotopy analysis method
- Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
- The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method
- Homotopy analysis method for the sine-Gordon equation with initial conditions
- Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control
- Homotopy Analysis Method in Nonlinear Differential Equations
- Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation
- Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems
- Definitions and examples of inverse and ill-posed problems
- Solving Inverse Source Problems Using Observability. Applications to the Euler–Bernoulli Plate Equation
- Theoretical Numerical Analysis
- Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
- Inverse problem for the dissipative wave equation in a stratified half-space and linearization of the imbedding equations
- Beyond Perturbation
- On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
- Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
- Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach
This page was built for publication: Application of weighted homotopy analysis method to solve an inverse source problem for wave equation
