[HTML][HTML] Hermite wavelets operational matrix of integration for the numerical solution of nonlinear singular initial value problems

SC Shiralashetti, S Kumbinarasaiah - Alexandria engineering journal, 2018 - Elsevier
In this paper, new operational matrix of integration is generated by using Hermite wavelets.
By aid of these matrices, Hermite wavelets operational matrix method (HWOMM) is …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets

Vivek, M Kumar, SN Mishra - Journal of Taibah University for …, 2023 - Taylor & Francis
In this paper, we present an effective method under Taylor wavelets and collocation
technique to find an approximate solution of linear and non-linear second-order singular …

Numerical solution of the Bagley–Torvik equation by the Bessel collocation method

Ş Yüzbaşı - Mathematical methods in the applied sciences, 2013 - Wiley Online Library
In this article, a numerical technique is presented for the approximate solution of the Bagley–
Torvik equation, which is a class of fractional differential equations. The basic idea of this …

[HTML][HTML] A Bessel collocation method for solving fractional optimal control problems

E Tohidi, HS Nik - Applied Mathematical Modelling, 2015 - Elsevier
In the present paper, we apply the truncated Bessel series approximation by using
collocation scheme, for solving linear and nonlinear fractional optimal control problems …

[HTML][HTML] A numerical approach to solve the model for HIV infection of CD4+ T cells

Ş Yüzbaşı - Applied Mathematical Modelling, 2012 - Elsevier
In this study, we will obtain the approximate solutions of the HIV infection model of CD4+ T
by developing the Bessel collocation method. This model corresponds to a class of …

A comprehensive review on fractional-order optimal control problem and its solution

A Abd-Elmonem, R Banerjee, S Ahmad… - Open …, 2023 - degruyter.com
This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

Disturbance solutions for the long–short-wave interaction system using bi-random Riccati–Bernoulli sub-ODE method

YF Alharbi, MAE Abdelrahman, MA Sohaly… - Journal of Taibah …, 2020 - Taylor & Francis
This article applied the Riccati–Bernoulli (RB) sub-ODE method in order to get new exact
solutions for the long–short-wave interaction (LS) equations. Namely, we obtain …

Numerical solutions of singularly perturbed one-dimensional parabolic convection–diffusion problems by the Bessel collocation method

Ş Yüzbaşı, N Şahin - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, we present a numerical scheme for the approximate solutions of the one-
dimensional parabolic convection–diffusion model problems. This method is based on the …

Solution of linear and nonlinear singular value problems using operational matrix of integration of Fibonacci wavelets

Vivek, M Kumar - Journal of Engineering Mathematics, 2024 - Springer
This article introduces a proficient method for solving both linear and nonlinear second-
order singular value differential equations within the framework of Fibonacci wavelets and …