Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations
نویسندگان
چکیده
منابع مشابه
The Approximate and Exact Solutions of the Space- and Time-fractional Burgers Equations
In the paper, we extend the differential transform method to solve nonlinear fractional partial differential equations. The timeand space-fractional Burgers equations with initial conditions are chosen to illustrate our method. As a result, we successfully obtain some available approximate solutions of them. The results reveal that the proposed method is very effective and simple for obtaining ...
متن کاملGroup Invariant Solutions of Burgers-Poisson Equation
In this paper, a nonlinear dispersive wave equation Burgers-Poisson (BP) equation is considered. We present a classification of group invariant solutions for the BP equation by using classical Lie method. Mathematics Subject Classification; 35Q53
متن کاملFractional Poisson Process
For almost two centuries, Poisson process with memoryless property of corresponding exponential distribution served as the simplest, and yet one of the most important stochastic models. On the other hand, there are many processes that exhibit long memory (e.g., network traffic and other complex systems). It would be useful if one could generalize the standard Poisson process to include these p...
متن کاملOn the Burgers-poisson Equation
In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L(R). Additional an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak entropy solutions are provided.
متن کاملThe Approximate and Exact Solutions of the Fractional-order Delay Differential Equations Using Legendre Seudospectral Method
Fractional differential equations have recently been applied in various area of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers remain unaware of this field. In this paper, an efficient numerical method for solving the fractional delay differential equations (FDDEs) is considered. The fractional derivative is described in the Caputo sens...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied and Computational Mathematics
سال: 2013
ISSN: 2328-5605
DOI: 10.11648/j.acm.20130203.12