Results 11 to 20 of about 332,442 (262)

Linearisation of a second-order nonlinear ordinary differential equation

open access: yesActa Polytechnica, 2023
We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj   +3 more
doaj   +1 more source

On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

open access: yesAxioms, 2023
Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method.
Nikolay K. Vitanov
doaj   +1 more source

Nonlinear differential equation with first order partial derivatives

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Solution of Fractional Partial Differential Equations Using Fractional Power Series Method

open access: yesInternational Journal of Differential Equations, 2021
In this paper, we are presenting our work where the noninteger order partial differential equation is studied analytically and numerically using the noninteger power series technique, proposed to solve a noninteger differential equation.
Asif Iqbal Ali   +2 more
doaj   +1 more source

The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation

open access: yesResults in Physics, 2021
In this article, we consider the nonlinear stochastic Wick-type fractional Gardner equation and the generalized fractional Gardner equation with coefficient variables.
Jin Hyuk Choi, Hyunsoo Kim
doaj   +1 more source

Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

open access: yesMathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

open access: yesAbstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj   +1 more source

Exact solutions of some nonlinear evolution equations via the first integral method

open access: yesAin Shams Engineering Journal, 2013
The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations.
N. Taghizadeh   +2 more
doaj   +1 more source

Numerical and computational investigation of soliton propagation in physical systems via computational schemes: (1+1)-dimensional MNW integrable equation

open access: yesResults in Physics, 2023
This study utilizes computational and numerical techniques to investigate the (1+1)-dimensional Mikhailov–Novikov–Wang (MNW) integrable equation, a nonlinear partial differential equation that governs the propagation of solitons in various physical ...
Tianyong Han, Mostafa M.A. Khater
doaj   +1 more source

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