Results 21 to 30 of about 692,049 (294)

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

Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis

open access: yesJournal of Applied Mathematics, 2013
The migration of melt through the mantle of the Earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt.
N. Mindu, D. P. Mason
doaj   +1 more source

Q-measure-valued solution of a hyperbolic partial differential equation

open access: yesPartial Differential Equations in Applied Mathematics, 2022
In this article, we introduced a new measure termed as Q-measure to represent a weak* limit of the barycenter of a sequence of Borel measurable function. The Q-measure is defined by replacing the sequence of measurable functions via the barycenter of the
Jisha C.R.
doaj   +1 more source

Partial Differential Equations

open access: yesMultivariable Calculus with Mathematica, 2005
We consider the equations governing incompressible, viscous fluids in three space dimensions, rotating around an inhomogeneous vector B(x) : this is a generalization of the usual rotating fluid model (where B is constant).
Shaharuddin Salleh   +2 more
semanticscholar   +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

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

Solution of fractional modified Kawahara equation: a semi-analytic approach

open access: yesMathematics in Applied Sciences and Engineering, 2023
The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations.
Sagar Khirsariya   +2 more
doaj   +1 more source

Approximate controllability of fractional partial differential equation

open access: yesAdvances in Differential Equations, 2015
In the present paper, by using the theory of semigroup operators and the Schauder fixed point theorem, we define the mild solution of a fractional partial differential equation and obtain the existence and uniqueness of the mild solution.
Fang Wang, Ping Wang, Z. Yao
semanticscholar   +1 more source

Data-driven discovery of partial differential equations [PDF]

open access: yesScience Advances, 2016
Researchers propose sparse regression for identifying governing partial differential equations for spatiotemporal systems. We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by ...
S. Rudy, S. Brunton, J. Proctor, J. Kutz
semanticscholar   +1 more source

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