[KNIHA][B] Handbook of ordinary differential equations: exact solutions, methods, and problems

AD Polyanin, VF Zaitsev - 2017 - taylorfrancis.com
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,
is an exceptional and complete reference for scientists and engineers as it contains over …

Study of a nonlinear system of fractional differential equations with deviated arguments via Adomian decomposition method

A Afreen, A Raheem - International Journal of Applied and Computational …, 2022 - Springer
This paper studies a system of nonlinear fractional differential equations (FDEs) with
deviated arguments. Many linear and nonlinear problems are faced in the real-life …

[HTML][HTML] Investigate the dynamic nature of soliton solutions and bifurcation analysis to a new generalized two-dimensional nonlinear wave equation with its stability

A Ali, J Ahmad, S Javed, S Alkarni, NA Shah - Results in Physics, 2023 - Elsevier
In this current research, we investigate a new generalized two-dimensional nonlinear wave
equation of engineering physics using two versatile approaches. Nonlinear wave models …

A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

P Rahimkhani, Y Ordokhani, E Babolian - Numerical Algorithms, 2017 - Springer
In this research, a Bernoulli wavelet operational matrix of fractional integration is presented.
Bernoulli wavelets and their properties are employed for deriving a general procedure for …

[KNIHA][B] Delay ordinary and partial differential equations

AD Polyanin, VG Sorokin, AI Zhurov - 2024 - taylorfrancis.com
The book is devoted to linear and nonlinear ordinary and partial differential equations with
constant and variable delay. It considers qualitative features of delay differential equations …

[HTML][HTML] A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

E Tohidi, AH Bhrawy, K Erfani - Applied Mathematical Modelling, 2013 - Elsevier
This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

[PDF][PDF] Wavelets approach for the solution of nonlinear variable delay differential equations

K Srinivasa, RA Mundewadi - Int. J. Math. Comput. Eng, 2023 - intapi.sciendo.com
In this study, the Laguerre wavelet-oriented numerical scheme for nonlinear first and second-
order delay differential equations (DDEs) is offered. The proposed technique is dependent …

Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials

S Sedaghat, Y Ordokhani, M Dehghan - Communications in Nonlinear …, 2012 - Elsevier
In this article we propose a numerical scheme to solve the pantograph equation. The
method consists of expanding the required approximate solution as the elements of the …

The Analysis of Fractional‐Order Nonlinear Systems of Third Order KdV and Burgers Equations via a Novel Transform

AA Alderremy, S Aly, R Fayyaz, A Khan, R Shah… - …, 2022 - Wiley Online Library
In this article, we solve nonlinear systems of third order KdV Equations and the systems of
coupled Burgers equations in one and two dimensions with the help of two different …

Hermite wavelet method for fractional delay differential equations

U Saeed, M ur Rehman - Journal of Difference Equations, 2014 - Wiley Online Library
We proposed a method by utilizing method of steps and Hermite wavelet method, for solving
the fractional delay differential equations. This technique first converts the fractional delay …