Results 21 to 30 of about 817,111 (369)

ON SOME PROBLEMS FOR LOADED PARTIAL DIFFERENTIAL EQUATION OF THE FIRST ORDER

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
For equations of the form ux + uy = lux(x;0) + muy(0;y) the investigation on the correctness of the number of initial value problems in bounded and unbounded domains.
Attaev A. Kh.
doaj   +1 more source

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

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

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

An Entire Spectral Determinant for Semiclassical Quantization [PDF]

open access: yes, 1993
We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schr\"odinger equation can be computed from the trace of a classical operator.
Vattay, Gabor
core   +3 more sources

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

On the Whitham Hierarchies: Reductions and Hodograph Solutions [PDF]

open access: yes, 2002
A general scheme for analyzing reductions of Whitham hierarchies is presented. It is based on a method for determining the $S$-function by means of a system of first order partial differential equations.
Alonso, Luis Martinez   +2 more
core   +3 more sources

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

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