A two-dimensional Haar wavelets method for solving systems of PDEs

DOI10.1016/j.amc.2016.07.032zbMath1410.65391OpenAlexW2484275685MaRDI QIDQ1732814

Akbar Nazari, Somayeh Arbabi, Mohammad Taghi Darvishi

Publication date: 25 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.07.032

zbMATH Keywords

stability analysiserror analysisHaar waveletquasilinearization processthree-dimensional system of PDEs

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (14)

Wavelet based algorithm for numerical study of \((1+2)\)-dimensional time fractional diffusion problems ⋮ Numerical solution of fractional partial differential equations via Haar wavelet ⋮ Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method ⋮ A multiresolution collocation method and its convergence for Burgers' type equations ⋮ Introducing higher-order Haar wavelet method for solving three-dimensional partial differential equations ⋮ Numerical solutions of two dimensional Sobolev and generalized Benjamin-Bona-Mahony-Burgers equations via Haar wavelets ⋮ A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations ⋮ Unnamed Item ⋮ An efficient numerical algorithm for multi-dimensional time dependent partial differential equations ⋮ Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models ⋮ Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets ⋮ Chaoticity versus stochasticity in financial markets: are daily S\&P 500 return dynamics chaotic? ⋮ Unnamed Item ⋮ Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations

Cites Work

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