Results 41 to 50 of about 236,568 (372)

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

open access: yesPan-American Journal of Mathematics
The method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations
Md Roknujjaman   +2 more
doaj   +1 more source

Regularity theory for fully nonlinear integro-differential equations [PDF]

open access: yes, 2008
We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
core   +3 more sources

Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics

open access: yesAdvances in Difference Equations, 2018
This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
doaj   +1 more source

A complex variable boundary element method for an elliptic partial differential equation with variable coefficients

open access: yes, 2000
A boundary element method based on the Cauchy integral formulae is proposed for the numerical solutionof a boundary value problem governed by a second-order elliptic partial differential equation with variablecoefficients.
Y. Park, W. Ang
semanticscholar   +1 more source

Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics

open access: yesOpen Physics, 2021
This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
doaj   +1 more source

The solution of Poisson partial differential equations via Double Laplace Transform Method

open access: yesPartial Differential Equations in Applied Mathematics, 2021
The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics.
Amjad Ali, Abdullah, Anees Ahmad
doaj  

A partial differential equation for pseudocontact shift. [PDF]

open access: yesPhysical Chemistry, Chemical Physics - PCCP, 2014
It is demonstrated that pseudocontact shift (PCS), viewed as a scalar or a tensor field in three dimensions, obeys an elliptic partial differential equation with a source term that depends on the Hessian of the unpaired electron probability density.
G. Charnock, I. Kuprov
semanticscholar   +1 more source

AAPM medical physics practice guideline 13.a: HDR brachytherapy, part B

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract The goal of this report is to assist the clinical medical physicist in assuring that key quality standards and practice considerations are met to ensure safe, reliable, and reproducible high dose rate (HDR) brachytherapy (BT) treatment. This guideline has been developed to provide appropriate minimum standards for such services.
Susan L. Richardson   +8 more
wiley   +1 more source

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

open access: yes, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

New solutions to a category of nonlinear PDEs

open access: yesFrontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

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