نتایج جستجو برای: perturbation solutions

تعداد نتایج: 395391  

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد 1368

متد perturbation یک روش تقریبی تحلیلی برای حل معادلات دیفرانسیل معمولی و جزئی که دارای یک پارامتر خیلی کوچک و یا خیلی بزرگ هستند میباشد. در این روش جواب معادلات به صورت تحلیلی و صریح برحسب پارامترها و متغیرهای مستقل مسئله بدست می آید. در این رساله ابتدا روش بسط منظم (regular perturbation) مورد بررسی قرار گرفته است ، همچنین در ادامهء متد strained parameter معرفی و در حل معادلهء duffing استفاده ش...

Journal: :Biomedical optics express 2013
Jennifer Nguyen Carole K Hayakawa Judith R Mourant Jerome Spanier

This paper describes an extension of the perturbation Monte Carlo method to model light transport when the phase function is arbitrarily perturbed. Current perturbation Monte Carlo methods allow perturbation of both the scattering and absorption coefficients, however, the phase function can not be varied. The more complex method we develop and test here is not limited in this way. We derive a r...

2013
K. E. HARLEY P. VAN HEIJSTER R. MARANGELL G. J. PETTET

The existence of travelling wave solutions to a haptotaxis dominated model is analysed. A version of this model has been derived in Perumpanani et al (1999) to describe tumour invasion, where diffusion is neglected as it is assumed to play only a small role in the cell migration. By instead allowing diffusion to be small, we reformulate the model as a singular perturbation problem, which can th...

In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required t...

The nonlinear dynamical system modeling the immobilized enzyme kinetics with Michaelis-Menten mechanism for an irreversible reaction without external mass transfer resistance is considered. Laplace transform homotopy perturbation method is used to obtain the approximate solution of the governing nonlinear differential equation, which consists in determining the series solution convergent to the...

2009
Seokcheon Lee

Three decades ago Heath found the integral form of the exact analytic growing mode solution of linear density perturbation δ in subhorizon scales including the cosmological constant or the curvature term. Interestingly, we are able to obtain the analytic solution for general dark energy models with the constant equation of state ωde. We compare the correct analytic growing mode solution δ with ...

2013
Junping Shi Yi Hong Du Juncheng Wei Antonio Suárez Narcisa C. Apreutesei

multiplicity of positive solutions for a class of semilinear problem. II. Junping Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. multiplicity of positive solutions for a class of semilinear problems. Existence and instability of spike layer solutions to singular perturbation problems. J.

2004
A. NEISHTADT

A system which differs from an integrable Hamiltonian system with two degrees of freedom by a small Hamiltonian perturbation and much a smaller non-Hamiltonian perturbation is considered. The unperturbed system is isoenergetically nondegenerate. The averaging method is used for an approximate description of solutions of the exact system on a time interval inversely proportional to the amplitude...

Abolfazl Ranjbar, H. Soltani, J. Ghasemi, S. H. Hosseinnia

Homotopy Perturbation Method is an effective method to find a solution of a nonlinear differential equation, subjected to a set of boundary condition. In this method a nonlinear and complex differential equation is transformed to series of linear and nonlinear and almost simpler differential equations. These set of equations are then solved secularly. Finally a linear combination of the solutio...

ژورنال: پژوهش های ریاضی 2016
Aliof , N, Ashrafi , S, Jahanshah,, M,

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

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