Results 51 to 60 of about 1,021 (186)

Numerical Solution of Nonlinear Volterra-Fredholm Integral Equations Using Haar Wavelet Collocation Method

Bulletin of Mathematical Sciences and Applications, 2017
In this paper, we present a numerical solution of nonlinear Volterra-Fredholm integral equations using Haar wavelet collocation method. Properties of Haar wavelet and its operational matrices are utilized to convert the integral equation into a system of algebraic equations, solving these equations using MATLAB to compute the Haar coefficients.
S.C. Shiralashetti, R.A. Mundewadi
openaire   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

Computing continuous-time growth models with boundary conditions via wavelets. [PDF]

This paper presents an algorithm for solving boundary value differential equations, which often arise in economics from the application of Pontryagin’s maximum principle.
Esteban Bravo, Mercedes, Vidal-Sanz, Jose M.   +1 more
core   +3 more sources

A higher-order collocation technique based on Haar wavelets for fourth-order nonlinear differential equations having nonlocal integral boundary conditions

Alexandria Engineering Journal
This article encounters the use of two wavelet methods, namely the collocation method based on Haar wavelets (CMHW) and the higher-order collocation method based on Haar wavelets (HCMHW), to solve linear and nonlinear fourth-order differential equations ...
Muhammad Ahsan, Weidong Lei, Amir Ali Khan, Masood Ahmed, Maher Alwuthaynani, Ayesha Amjad   +5 more
doaj   +1 more source

Solving Systems of Fractional‐Order Differential Equations Using a Reproducing Kernel‐Based Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new technique utilizing the reproducing kernel method (RKM) to solve both linear and nonlinear systems of fractional‐order differential equations (SFDEs). The technique carefully integrates essential elements, including the solution space, basis functions, strategic point selection, and a suitable inner product.
Taher Amoozad, Saeid Abbasbandy, Hussein Sahihi, Tofigh Allahviranloo, Jun Fan   +4 more
wiley   +1 more source

Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method

International Journal of Mathematical, Engineering and Management Sciences, 2022
The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation.
Ratesh Kumar, Sonia Arora
doaj   +1 more source

Valuation of boundary-linked assets [PDF]

, 2004
This article studies the valuation of boundary-linked assets and their derivatives in continuous-time markets. Valuing boundary-linked assets requires the solution of a stochastic differential equation with boundary conditions, which, often, is not ...
Esteban-Bravo, Mercedes, Vidal-Sanz, Jose M.   +1 more
core   +1 more source

Haar wavelet collocation method for existence and numerical solutions of fourth-order integro-differential equations with bounded coefficients

Nonlinear Engineering
In this article, Haar wavelet collocation method is applied for the solution of fourth-order integro-differential equations. Also, a fixed point approach is used to investigate the existence theory of solution to the considered problem.
Amin Rohul, Nawaz Muhammad, Shah Kamal, Abdeljawad Thabet   +3 more
doaj   +1 more source

Extension of Haar wavelet technique for numerical solution of three-dimensional linear and nonlinear telegraph equations

Partial Differential Equations in Applied Mathematics
In this manuscript, a hybrid numerical technique is presented for solving three-dimensional hyperbolic telegraph equations. The proposed technique is based on the Haar wavelet collocation method and the finite difference method.
Muhammad Asif, Faisal Bilal, Mehnaz, Imran Khan, Qasem-Al-Mdallal   +4 more
doaj   +1 more source

A reliable multi-resolution collocation algorithm for nonlinear Schrödinger equation with wave operator

Applied Mathematics in Science and Engineering, 2023
The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this paper using the Haar wavelet collocation technique (HWCM). The central difference technique is applied to handle the temporal derivative in the NHSE and the finite ...
Weidong Lei, Muhammad Ahsan, Masood Ahmad, Muhammad Nisar, Zaheer Uddin   +4 more
doaj   +1 more source