[HTML][HTML] Approximate solution for quadratic Riccati differential equation

F Ghomanjani, E Khorram - Journal of Taibah university for science, 2017‏ - Elsevier
The quadratic Riccati differential equations are a class of nonlinear differential equations of
much importance, and play a significant role in many fields of applied science. This paper …

Comparison of the selected methods used for solving the ordinary differential equations and their systems

E Hetmaniok, M Pleszczyński - Mathematics, 2022‏ - mdpi.com
Ordinary differential equations (ODEs), and the systems of such equations, are used for
describing many essential physical phenomena. Therefore, the ability to efficiently solve …

An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations

LA Markovich, R Grimaudo, A Messina, H Nakazato - Annals of Physics, 2017‏ - Elsevier
A novel recipe for exactly solving in finite terms a class of special differential Riccati
equations is reported. Our procedure is entirely based on a successful resolution strategy …

Wavelet Neural Network Solutions for Riccati Differential Equations: The Vieta-Fibonacci Approach

R Kumar, S Aeri, JP Sharma, K Singh - International Conference on …, 2023‏ - Springer
To propose the computational method for obtaining the numerical solutions for Riccati
differential equations is the primary focus of this work. Riccati differential equations are …

[PDF][PDF] An Exact Solution of Riccati Form of Navier-Stokes Equations with Mathematica

V Christianto - Prespacetime Journal, 2015‏ - academia.edu
There are many obtained solutions for 2D Navier-Stokes equations. This paper discusses an
exact analytical solution of Riccati form of Navier-Stokes equations with Mathematica. To our …

A simple approach for the fractal Riccati differential equation

KJ Wang - Journal of Applied and Computational Mechanics, 2021‏ - jacm.scu.ac.ir
A Simple Approach for the Fractal Riccati Differential Equation Page 1 J. Appl. Comput. Mech.,
7(1) (2021) 177-181 DOI: 10.22055/JACM.2020.34857.2486 ISSN: 2383-4536 jacm.scu.ac.ir …

Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations

V Mishra, D Rani - MATEC Web of Conferences, 2016‏ - matec-conferences.org
Numerical Laplace transform method is applied to approximate the solution of nonlinear
(quadratic) Riccati differential equations mingled with Adomian decomposition method. A …

[PDF][PDF] Analytical solutions of a 1D time-fractional coupled Burger equation via fractional complex transform

SO Edeki, GO Akinlabi, ID Ezekiel - WSEAS Trans Math, 2018‏ - core.ac.uk
In this paper, we obtain analytical solutions of a system of time-fractional coupled Burger
equation of one-dimensional form via the application of Fractional Complex Transform (FCT) …

[PDF][PDF] Approximate solution of first order nonlinear fuzzy initial value problem with two different fuzzifications

AF Jameel, AIM Ismail - Journal of Uncertain Systems, 2015‏ - academia.edu
In this work, the homotopy perturbation method is developed and formulated to find an
approximate-analytical solution of fuzzy initial value problems involving a nonlinear first …