Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order
نویسندگان
چکیده
منابع مشابه
An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order
In this study, an effective numerical method for solving fractional differential equations using Chebyshev cardinal functions is presented. The fractional derivative is described in the Caputo sense. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. In addition, illustrative examples...
متن کاملComparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
The work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method and Adomian decomposition method for solving differential equations of integer and fractional orders.
متن کاملOperational method of solution of linear non-integer ordinary and partial differential equations
We propose operational method with recourse to generalized forms of orthogonal polynomials for solution of a variety of differential equations of mathematical physics. Operational definitions of generalized families of orthogonal polynomials are used in this context. Integral transforms and the operational exponent together with some special functions are also employed in the solutions. The exa...
متن کاملNON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
In this article we have considered a non-standard finite difference method for the solution of second order Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...
متن کاملcomparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
the work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on homotopy analysis method and adomian decomposition method for solving differential equations of integer and fractional orders.
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: Alexandria Engineering Journal
سال: 2020
ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.02.031