Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform

DOI10.1002/num.22572OpenAlexW3097421339WikidataQ114235254 ScholiaQ114235254MaRDI QIDQ6087706

Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22572

zbMATH Keywords

collocation methodpartial differential equationoperational matricesBernoulli waveletLegendre wavelet

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (4)

A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels ⋮ Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮ Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations ⋮ The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions

Cites Work

• Unnamed Item
• Unnamed Item
• Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system
• The construction of operational matrix of fractional derivatives using B-spline functions
• Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media
• Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation
• A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves
• A new operational matrix for solving fractional-order differential equations
• Local frequency analysis with two-dimensional wavelet transform
• Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model
• The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
• Operational matrix approach for the solution of partial integro-differential equation
• Operational matrix approach for solution of integro-differential equations arising in theory of anomalous relaxation processes in vicinity of singular point
• Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
• Image analysis with two-dimensional continuous wavelet transform
• A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type
• Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order
• Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method
• The analysis and design of two-dimensional nearly-orthogonal symmetric wavelet filter banks
• Local spectral analysis of images via the wavelet transform based on partial differential equations
• Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives
• The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves
• Singularity detection and processing with wavelets
• Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations

This page was built for publication: Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform