Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system

A Yokus, H Durur, H Ahmad - Facta Universitatis, Series …, 2020 - casopisi.junis.ni.ac.rs
Abstract In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …

[PDF][PDF] An overview of Haar wavelet method for solving differential and integral equations

G Hariharan, K Kannan - World Applied Sciences Journal, 2013 - Citeseer
Investigation of various wavelet methods, for its capability of analyzing various dynamic
phenomena through waves gained more and more attention in engineering research …

Role of Gilson–Pickering equation for the different types of soliton solutions: a nonlinear analysis

A Yokuş, H Durur, KA Abro, D Kaya - The European Physical Journal Plus, 2020 - Springer
In this article, the soliton solutions of the Gilson–Pickering equation have been constructed
using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which …

[HTML][HTML] Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet

I Aziz, R Amin - Applied Mathematical Modelling, 2016 - Elsevier
In this paper, Haar wavelet collocation method is applied to obtain the numerical solution of
a particular class of delay differential equations. The method is applied to linear and …

[HTML][HTML] New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets

I Aziz - Journal of Computational and Applied Mathematics, 2013 - Elsevier
Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

[HTML][HTML] Haar wavelet collocation method for Lane–Emden equations with Dirichlet, Neumann and Neumann–Robin boundary conditions

R Singh, H Garg, V Guleria - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, we present a numerically stable algorithm based on the Haar wavelet
collocation method (hwcm) for numerical solution of a class of Lane–Emden equation with …

A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

M Ahsan, M Bohner, A Ullah, AA Khan… - … and Computers in …, 2023 - Elsevier
The focus of this paper is to develop and improve a higher-order Haar wavelet approach for
solving nonlinear singularly perturbed differential equations with various pairs of boundary …

Construction of different types analytic solutions for the Zhiber-Shabat equation

A Yokus, H Durur, H Ahmad, SW Yao - Mathematics, 2020 - mdpi.com
In this paper, a new solution process of (1/G′)-expansion and (G′/G, 1/G)-expansion
methods has been proposed for the analytic solution of the Zhiber-Shabat (ZS) equation …

Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations

R Singh, V Guleria, M Singh - Mathematics and Computers in Simulation, 2020 - Elsevier
In this paper, an efficient method for solving the nonlinear Emden–Fowler type boundary
value problems with Dirichlet and Robin–Neumann boundary conditions is introduced. The …

Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations

M Faheem, A Raza, A Khan - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we introduce two different methods based on Gegenbauer wavelet and
Bernoulli wavelet for the solution of neutral delay differential equations. These methods …