Results 31 to 40 of about 178,942 (307)

APPROXIMATE SOLUTIONS OF GRETZ - NUSSELT PROBLEM

open access: yesИзвестия высших учебных заведений: Нефть и газ, 2015
The approximate solutions of Gretz - Nusselt problem are provided in the article. For these solutions their application range and a definition of errors occurred at solving the differential equation of energy are given.
V. G. Milyutin, V. S. Loginov
doaj   +1 more source

The Hellmann–Feynman theorem, the comparison theorem, and the envelope theory

open access: yesResults in Physics, 2015
The envelope theory is a convenient method to compute approximate solutions for bound state equations in quantum mechanics. It is shown that these approximate solutions obey a kind of Hellmann–Feynman theorem, and that the comparison theorem can be ...
Claude Semay
doaj   +1 more source

A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results

open access: yesJournal of Applied Mathematics, 2014
This paper is focused on studying approximate damped oscillatory solutions of the compound KdV-Burgers-type equation with nonlinear terms of any order.
Yan Zhao, Weiguo Zhang
doaj   +1 more source

Approximate solutions of hybrid stochastic pantograph equations with Levy jumps [PDF]

open access: yes, 2013
We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in 퐿 2 sense as well as in probability under local Lipschitz condition ...
Mao, Wei   +3 more
core   +1 more source

A Novel Scheme of the ARA Transform for Solving Systems of Partial Fractional Differential Equations

open access: yesFractal and Fractional, 2023
In this article, a new analytical scheme of the ARA transform is introduced to solve systems of fractional partial differential equations. The principle of the proposed technique is based on combining the ARA transform with the residual power series ...
Aliaa Burqan
doaj   +1 more source

Extended Form of Robust Solutions for Uncertain Continuous-Time Linear Programming Problems with Time-Dependent Matrices

open access: yesAxioms, 2022
An extended form of robust continuous-time linear programming problem with time-dependent matrices is formulated in this paper. This complicated problem is studied theoretically in this paper.
Hsien-Chung Wu
doaj   +1 more source

Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat

open access: yes, 2020
The work in this paper concerns the study of different approximations for one-dimensional one-phase Stefan-like problems with a space-dependent latent heat. It is considered two different problems, which differ from each other in their boundary condition
Tarzia, Domingo Alberto   +1 more
core   +1 more source

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

open access: yesFrontiers in Physics, 2023
This article circumvents the Laplace transform to provide an analytical solution in a power series form for singular, non-singular, linear, and non-linear ordinary differential equations.
Ahmad El-Ajou   +4 more
doaj   +1 more source

On Approximate Solutions of a Fractional Chemotaxis-Haptotaxis Model via two Computational Schemes

open access: yes, 2021
In this paper, the q-homotopy analysis transform method (q-HATM) and homotopy perturbation transform method (HPTM) were employed to obtain analytic series solutions for a coupled system of nonlinear time-fractional chemotaxis-haptotaxis model.
Ossaiugbo, M.I.   +2 more
core   +1 more source

Solving a Generalized Fractional Nonlinear Integro-Differential Equations via Modified Sumudu Decomposition Transform

open access: yesAxioms, 2022
The Sumudu decomposition method was used and developed in this paper to find approximate solutions for a general form of fractional integro-differential equation of Volterra and Fredholm types.
Kamel Al-Khaled
doaj   +1 more source

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