Results 11 to 20 of about 228 (55)

The development of the deterministic nonlinear PDEs in particle physics to stochastic case

open access: yesResults in Physics, 2018
In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
doaj   +1 more source

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 663-672, 1992., 1991
In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
wiley   +1 more source

Fractional modelling arising in unidirectional propagation of long waves in dispersive media

open access: yesAdvances in Nonlinear Analysis, 2016
The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil   +2 more
doaj   +1 more source

Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]

open access: yes, 2012
In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
core   +3 more sources

Analytical Solutions of the Black–Scholes Pricing Model for European Option Valuation via a Projected Differential Transformation Method [PDF]

open access: yes, 2015
In this paper, a proposed computational method referred to as Projected Differential Transformation Method (PDTM) resulting from the modification of the classical Differential Transformation Method (DTM) is applied, for the first time, to the Black ...
Edeki, S.O.   +2 more
core   +2 more sources

Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves

open access: yesJournal of Ocean Engineering and Science, 2019
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt   +6 more
doaj   +1 more source

ANALYTIC SOLUTION OF A NONLINEAR BLACK-SCHOLES EQUATION WITH PRICE SLIPPAGE

open access: yes, 2014
We study a nonlinear Black-Scholes partial differential equation whose nonlinearity is as a result of transaction cost and a price slippage impact that lead to market illiquidity with feedback effects.
J. E. Esekon
semanticscholar   +1 more source

The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]

open access: yes, 2014
The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo   +1 more
core   +2 more sources

Wave packet analysis of Schrodinger equations in analytic function spaces [PDF]

open access: yes, 2015
We consider a class of linear Schroedinger equations in R^d, with analytic symbols. We prove a global-in-time integral representation for the corresponding propagator as a generalized Gabor multiplier with a window analytic and decaying exponentially at ...
Cordero, Elena   +2 more
core   +2 more sources

Functions holomorphic along holomorphic vector fields

open access: yes, 2008
The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are ...
B.V. Shabat   +7 more
core   +1 more source

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