Results 51 to 60 of about 11,164,966 (156)

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   +2 more sources

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

Memory‐Dependent Chaotic Dynamics and Stabilization of a Nonlinear Fractional‐Order Financial System With Optimal Control

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam, Razia Sultana, Payer Ahmed, Huaiqin Wu   +3 more
wiley   +1 more source

A multi-resolution hybrid Haar wavelet collocation method for solving nonlinear partial differential equations

Ain Shams Engineering Journal
This study focuses on approximation of several types of partial differential equations with different orders (including diffusion equation, Fisher equation, Atangana-Baleanu Burger’s equation and Korteweg-de Vries (KdV) equation). A multi-resolution (MR)
Amina Iqbal, Shazia Javed, Sidra Saleem, Mohammad Nasir, Nazir Ahmad Choudhry, Dalia H. Elkamchouchi, Umid Turdialiyev, M.Ijaz Khan   +7 more
doaj   +1 more source

New Iterative Method for Solving Nonlinear Volterra–Fredholm Integral Equations Using Bernoulli Polynomial

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The work is aimed at proposing a novel iterative technique based on the combination of two powerful Taylor′s and Bernoulli polynomials to solve nonlinear Volterra–Fredholm integral equations of the 2nd kind. The main contribution of this work is the development of a Bernoulli–Taylor iterative framework in which Bernoulli projection is combined with ...
Heba A. Abd-Alrazak, Muna M. Mustafa, Samah Mohammed Ali, Intisar Haitham Qasem, Sayed Pouria Talebi   +4 more
wiley   +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

Recent Advances in Numerical Methods for Stochastic Differential Equations: From Classical Schemes to Wavelet‐Based Techniques

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution landscape, progressing from foundational classical ...
Danamma I. Badigannavar, Harinakshi Karkera, Marko Kostic   +2 more
wiley   +1 more source

Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach [PDF]

مجله مدل سازی در مهندسی, 2019
In this paper, a numerical method is used to solve the one-dimensional inverse heat transfer problem, which is a combination of punctuation with wavelet collocation method and Tikhonov's method of stabilization.
Ali Jahangiri, Samira Mohammadi
doaj   +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