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Haar wavelet collocation method for linear and non-linear Schrödinger equation

Physica Scripta
Abstract This paper explores the one-dimensional nonlinear time-dependent Schrödinger equation (NLSE) using the Haar wavelet approach. To approximate the derivatives in time and space, two distinct Haar series are employed. These series are used to linearize the NLSE through a straightforward iterative method, resulting in a set of ...
Muhammad Ubaid Khan   +3 more
openaire   +1 more source

Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marasi, H. R., Derakhshan, M. H.
openaire   +1 more source

A Haar Wavelet Collocation Method for Inverse Problem

This article demonstrates the Haar wavelet collocation method as an effective strategy for solving the Black-Scholes model with various types of options. The Black-Scholes model is an inverse problems and formulated as a backward parabolic partial differential equation.
Muhammad Ahsan   +4 more
openaire   +1 more source

An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems

SeMA Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shah, Firdous A., Abass, R.
openaire   +2 more sources

An Efficient Modified Haar Wavelet Collocation Method for Numerical Solution of Two-Dimensional Elliptic PDEs

Differential Equations and Dynamical Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Imran Aziz, null Siraj-ul-Islam
openaire   +2 more sources

Numerical solution of stochastic ordinary differential equations using HAAR wavelet collocation method

Journal of Interdisciplinary Mathematics, 2021
S. C. Shiralashetti, Lata Lamani
openaire   +1 more source

Uniform Haar wavelet collocation method for three-point boundary value problems

AIP Conference Proceedings, 2020
null Swati   +2 more
openaire   +1 more source

Modeling catalyst effectiveness factor with space-fractional derivative using Haar wavelet collocation method

International Journal of Chemical Reactor Engineering
Abstract Mass transfer limitations may considerably affect the rate of a heterogeneous catalytic process. The catalyst effectiveness factor is a quantitative measure of the impact of the diffusion process inside a catalyst particle. The effectiveness factor is derived from the solution of the steady-state reaction-diffusion problem ...
openaire   +1 more source

Parallel Simulation Strategy of Virtual Synchronized Power Grid Based on Haar Wavelet Collocation Method

2022 IEEE/IAS Industrial and Commercial Power System Asia (I&CPS Asia), 2022
Li Yonggang, Wang Shuxiang, Zhou Yichen
openaire   +1 more source

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