A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation
DOI10.1515/dema-2022-0203OpenAlexW4376470523MaRDI QIDQ6045555
Waqas Khan, Muhammad Ahsan, Weidong Lei, Masood Ahmad, Zaheer Uddin
Publication date: 31 May 2023
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2022-0203
Numerical methods for wavelets (65T60) Numerical computation of solutions to single equations (65H05) General applied mathematics (00A69) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Soliton solutions (35C08) Numerical analysis (65-XX) Partial differential equations (35-XX) Partial differential equations and systems of partial differential equations with constant coefficients (35Exx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
- Wavelets collocation methods for the numerical solution of elliptic BV problems
- Numerical solution of nonlinear sine-Gordon equation by modified cubic B-spline collocation method
- Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions
- Tension spline solution of nonlinear sine-Gordon equation
- Using rationalized Haar wavelet for solving linear integral equations
- A comparative study of numerical integration based on Haar wavelets and hybrid functions
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- Singularly perturbed telegraph equations with applications in the random walk theory
- Wavelet operational matrix method for solving fractional differential equations with variable coefficients
- Haar wavelet Picard method for fractional nonlinear partial differential equations
- An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems
- A numerical Haar wavelet-finite difference hybrid method for linear and non-linear Schrödinger equation
- Birthmark based identification of software piracy using Haar wavelet
- Compact difference schemes for solving telegraphic equations with Neumann boundary conditions
- Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations
- A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions
- A modified algorithm based on Haar wavelets for the numerical simulation of interface models
- Exponential Jacobi spectral method for hyperbolic partial differential equations
- Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations
- A new method based on Haar wavelet for the numerical solution of two-dimensional nonlinear integral equations
- Functionally fitted block method for solving the general oscillatory second-order initial value problems and hyperbolic partial differential equations
- Haar wavelet method for solving fractional partial differential equations numerically
- Numerical simulation of a class of nonlinear wave equations by lattice Boltzmann method
- On a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian method
- Application of wavelet collocation method for hyperbolic partial differential equations via matrices
- Haar wavelet method for nonlinear integro-differential equations
- An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders
- Remesh-free shape optimization using the wavelet-Galerkin method
- A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
- Wave splitting of the telegraph equation in R 3 and its application to inverse scattering
- Hierarchical basis preconditioners for first kind integral equations
- A Galerkin-Type Method to Solve One-Dimensional Telegraph Equation Using Collocation Points in Initial and Boundary Conditions
- Analysis of the iteratively regularized Gauss–Newton method under a heuristic rule
- Numerical solution of singularly perturbed problems using Haar wavelet collocation method
- Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems
- Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity
- Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation
- New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations
- Fourth‐order compact and energy conservative scheme for solving nonlinear Klein‐Gordon equation
- A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces
- New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
- Haar wavelet approach to nonlinear stiff systems
This page was built for publication: A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation