Results 31 to 40 of about 3,715,842 (277)

Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application

open access: yesJournal of Function Spaces, 2020
The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
Xiao-Feng Yang, Yi Wei
doaj   +1 more source

Arithmetic partial differential equations, I

open access: yesAdvances in Mathematics, 2010
Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
openaire   +4 more sources

Particles to partial differential equations parsimoniously [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2021
Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g., in the form of partial differential equations (PDEs), that can explain the system evolution at much coarser, meso-, or macroscopic length scales.
Hassan Arbabi, Ioannis G. Kevrekidis
openaire   +4 more sources

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

Image Quality Enhancement Model and its Application Based on PDE

open access: yesChemical Engineering Transactions, 2015
Partial differential equations application in digital image processing is developing rapidly in recent years. The method aim to establish a mathematical model with the partial differential equation, and the model will change the image based on partial ...
F. Yuan, Z.P. Wang
doaj   +1 more source

Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines

open access: yesCumhuriyet Science Journal, 2022
This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı   +2 more
doaj   +1 more source

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

open access: yesMathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

SINGULAR SOLUTIONS OF CLAIRAUT-TYPE EQUATIONS IN PARTIAL DERIVATIVES WITH REVERSE TRIGONOMETRIC FUNCTIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina   +2 more
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

Implicit methods for the simple wave equation [PDF]

open access: yes, 1984
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core   +6 more sources

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