Fractional Differential Equations

EDDINGTON'S “Internal Constitution of the Stars” was published in 1926 and gives what now ranks as a classical account of his own researches and of the general state of the theory at that time. Since then, a tremendous amount of work has appeared. Much of it has to do with the construction of stellar models with different equations of state applying in different zones. Other parts deal with the effects of varying chemical composition, with pulsation and tidal and rotational distortion of stars, and with the precise relations between the interior and the atmosphere of a star. The striking feature of all this work is that so much can be done without assuming any particular mechanism of stellar energy-generation. Only such very comprehensive assumptions are made about the distribution and behaviour of the energy sources that we may expect future knowledge of their mechanism to lead mainly to more detailed results within the framework of the existing general theory. An Introduction to the Study of Stellar Structure By S. Chandrasekhar. (Astrophysical Monographs sponsored by The Astrophysical Journal.) Pp. ix+509. (Chicago: University of Chicago Press; London: Cambridge University Press, 1939.) 50s. net.

An Introduction to the Study of Stellar Structure

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شیوع عوارض حاد تزریق خون در بیماران بستری در 11 بیمارستان تهران و مازندران

Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm

A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

The construction of operational matrix of fractional derivatives using b-spline functions

Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method

A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses interpolating scaling functions. The method consists of expanding the required approximate solution as the elements of interpolating scaling functions. Using the operational matrix of derivatives, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces accurate results.

Numerical solution of telegraph equation using interpolating scaling functions

This paper presents the one-soliton solution to the Biswas-Milovic equation with Kerr law nonlinearity. This paper studies the perturbed Biswas-Milovic equation by the aid of the Exp-function method. By means of the Exp-function method, we report further exact travelling wave solutions, in a concise form, to the Biswas-Milovic equation which admits physical significance in applications. Not only solitary and periodic waves but also hyperbolic solutions are observed.

Mehrdad Lakestani

Papers

The construction of operational matrix of fractional derivatives using b-spline functions

Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method

Numerical solution of telegraph equation using interpolating scaling functions

Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity

Optical soliton solutions for the Gerdjikov-Ivanov model via tan(ϕ/2)-expansion method