Results 21 to 30 of about 55,126 (291)

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

open access: yesBoundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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

On stability of the third order partial delay differential equation with involution and Dirichlet condition

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj   +1 more source

Derive the finite difference scheme for the numerical solution of the first-order diffusion equation IBVP using the Crank-Nicolson method [PDF]

open access: yesE3S Web of Conferences, 2023
In the article, a differential scheme is created for the the first-order diffusion equation using the Crank-Nicolson method. The stability of the differential scheme was checked using the Neumann method.
Kurbonov Elyorjon   +3 more
doaj   +1 more source

On a linear system of differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Feasibility of neural network metamodels for emulation and sensitivity analysis of radionuclide transport models

open access: yesScientific Reports, 2023
In this paper we compare the outputs of neural network metamodels with numerical solutions of differential equation models in modeling cesium-137 transportation in sand.
Jari Turunen, Tarmo Lipping
doaj   +1 more source

Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation

open access: yesAbstract and Applied Analysis, 2013
We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Yu-Hsien Chang
doaj   +1 more source

Applications of Solvable Lie Algebras to a Class of Third Order Equations

open access: yesMathematics, 2022
A family of third-order partial differential equations (PDEs) is analyzed. This family broadens out well-known PDEs such as the Korteweg-de Vries equation, the Gardner equation, and the Burgers equation, which model many real-world phenomena. Furthermore,
María S. Bruzón   +3 more
doaj   +1 more source

Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta   +2 more
doaj   +1 more source

General solutions’ laws of linear partial differential equations I

open access: yesPartial Differential Equations in Applied Mathematics, 2022
Z2and Z3transformations are proposed for the first time in this paper, combined with the previously proposed Z1transformation, the general solutions of many kinds of n-ary m-order linear partial differential equations (PDEs), including the famous ...
Hong Lai Zhu
doaj   +1 more source

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