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

M Ahsan, W Lei, AA Khan, M Ahmed… - Alexandria Engineering …, 2024 - Elsevier
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 …

A high-order multi-resolution wavelet method for nonlinear systems of differential equations

M Ahsan, W Lei, M Bohner, AA Khan - Mathematics and Computers in …, 2024 - Elsevier
In this article, the applications of the new Haar wavelet collocation methods called as Haar
wavelet collocation method (HWCM) and higher-order Haar wavelet collocation method (H …

Modified fractional homotopy method for solving nonlinear optimal control problems

W Qing, B Pan - Nonlinear Dynamics, 2024 - Springer
The fractional homotopy method, involving the incorporation of the homotopic parameter into
the derivatives of differential equations in nonlinear optimal control problems, has been …

Contra-hormonic generalized fuzzy numerical scheme for solving mechanical engineering problems

N Kausar, H Garg - Journal of Applied Mathematics and Computing, 2024 - Springer
Differential equations are employed in a variety of engineering and applied mathematics
fields, including mechanics, thermodynamics, and general relativity. It is occasionally …

A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions

M Ahsan, W Lei, M Junaid, M Ahmed… - Journal of Applied …, 2024 - Springer
This article introduces a Haar wavelet-based numerical method for solving fifth-order linear
and nonlinear differential equations. This method easily handles both homogeneous and …

A higher-order collocation method based on Haar wavelets for integro-differential equations with two-point integral condition

M Ahsan, W Lei, M Alwuthaynani, M Ahmad… - Physica …, 2023 - iopscience.iop.org
In this article, the higher-order Haar wavelet collocation method (HCMHW) is investigated to
solve linear and nonlinear integro-differential equations (IDEs) with two types of conditions …

Sensitivity stability and feasibility analysis of epidemic measles using mathematical SEIR model

HA Bhavithra, S Sindu Devi - OPSEARCH, 2024 - Springer
The present study investigates the measles pandemic using a time-varying SEIR model. The
study identifies endemic equilibrium points, disease-free equilibrium points, and basic …

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

O Zhokh - International Journal of Chemical Reactor Engineering, 2024 - degruyter.com
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 …

[PDF][PDF] Dynamics of flight of the fragments with higher order Haar wavelet method.

L Kivistik, M Mehrparvar, M Eerme, J Majak - Proceedings of the Estonian …, 2024 - kirj.ee
Fragments that have an irregular shape and move at high speeds are difficult to assess
since experiments require high-tech solutions, and the differential equations that describe …

of the estonian academy of sciences

L Kivistik, M Mehrparvar, M Eerme, J Majak - kirj.ee
Fragments that have an irregular shape and move at high speeds are difficult to assess
since experiments require high-tech solutions, and the differential equations that describe …