A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs

DOI10.1016/j.apnum.2022.11.011OpenAlexW4309635045MaRDI QIDQ6101747

B. V. Rathish Kumar, Meena Pargaei

Publication date: 20 June 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.11.011

zbMATH Keywords

convergence analysisHaar wavelet methodnon-linear coupled degenerate PDEs-ODE systemzero quadrature

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Numerical methods in Fourier analysis (65Txx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Haar wavelets method for solving Poisson equations with jump conditions in irregular domain
• Wavelets collocation methods for the numerical solution of elliptic BV problems
• Haar wavelet method for solving some nonlinear parabolic equations
• The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets
• Quadrature rules for numerical integration based on Haar wavelets and hybrid functions
• Application of Haar wavelet method to eigenvalue problems of high order differential equations
• Numerical solution of stiff systems from nonlinear dynamics using single-term Haar wavelet series
• Numerical solution of evolution equations by the Haar wavelet method
• A comparative study of numerical integration based on Haar wavelets and hybrid functions
• On application of fast and adaptive periodic Battle-Lemarie wavelets for modeling of multiple lossy transmission lines
• Wavelet methods for solving three-dimensional partial differential equations
• New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
• A wavelet-based method for numerical solution of nonlinear evolution equations
• Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
• A wavelet operational method for solving fractional partial differential equations numerically
• Mathematical cardiac electrophysiology
• Numerical solution of time-varying systems with a stretch by general Legendre wavelets
• Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
• Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology
• Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions
• Haar wavelet method for solving lumped and distributed-parameter systems
• Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
• Automated Adjoints of Coupled PDE-ODE Systems
• Error Analysis for a Galerkin Finite Element Method Applied to a Coupled Nonlinear Degenerate System of Advection-diffusion Equations
• A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
• A new approach for numerical solution of integro-differential equations via Haar wavelets

This page was built for publication: A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs