Results 21 to 30 of about 236,568 (372)

Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces

open access: yesMathematics, 2023
We investigate the half-space Dirichlet problem with summable boundary-value functions for an elliptic equation with an arbitrary amount of potentials undergoing translations in arbitrary directions.
Andrey B. Muravnik
doaj   +1 more source

Generalized Eigenproblem And Nonlinear Elliptic Equations With Nonlinear Boundary Conditions [PDF]

open access: yes, 2012
We are concerned with the solvability of nonlinear second-order elliptic partial differential equations with nonlinear boundary conditions. We study the generalized Steklov-Robin eigenproblem (with possibly singular weights) in which the spectral ...
Mavinga, Nsoki
core   +2 more sources

The Extended Trial Equation Method for Some Time Fractional Differential Equations

open access: yesDiscrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir   +2 more
doaj   +1 more source

Hopscotch methods for elliptic partial differential equations

open access: yesJournal of Computational and Applied Mathematics, 1979
AbstractThis paper analyses hopscotch algorithms when used to solve elliptic partial differential equations. A comparison with standard methods is made for the model problem.
Sean McKee, A.R. Gourlay
openaire   +2 more sources

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

Fredholmness of an abstract differential equation of elliptic type

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. In this respect, our work can be considered as an extension of Yakubov's results to the case of boundary conditions ...
A. Aibeche
doaj   +1 more source

A guide to the design of the virtual element methods for second- and fourth-order partial differential equations

open access: yesMathematics in Engineering, 2023
We discuss the design and implementation details of two conforming virtual element methods for the numerical approximation of two partial differential equations that emerge in phase-field modeling of fracture propagation in elastic material.
Yu Leng   +6 more
doaj   +1 more source

An efficient method for 3D Helmholtz equation with complex solution

open access: yesAIMS Mathematics, 2023
The Helmholtz equation as an elliptic partial differential equation possesses many applications in the time-harmonic wave propagation phenomena, such as the acoustic cavity and radiation wave.
M. H. Heydari   +2 more
doaj   +1 more source

The eigenvalue problem for elliptic partial differential equation with multi-point nonlocal conditions

open access: yes, 2015
We study the spectral problem for the system of difference equations of a two-dimensional elliptic partial differential equation with nonlocal conditions. A new form of two-point nonlocal conditions that involve interior points is proposed. The matrix of
A. Elsaid, S. Helal, A. El-Sayed
semanticscholar   +1 more source

High-precision quantum algorithms for partial differential equations [PDF]

open access: yesQuantum, 2020
Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs   +2 more
semanticscholar   +1 more source

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