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One of the purposes of this thesis is to study the gravitomagnetic effects. These effects are derived by the analogy between Coulomb’s law and Newton’s gravitation law. There is a relationship between Maxwell’s equ...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for certain systems of second-order of integro-differential equations unsolvable for the highest derivative by using the numerical...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounde...

ABSTRACT In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro-differential equations of Volterra type. The numerical-analytic method has been used to stu...

Subjects / keywords: Numerical analysis; Linear programming; Equations; Numerical solutions; Electric power systems; Mathematical models; Engineering mathematics

We numerically and theoretically investigate the evolution of the ridges and rifts produced by the convergent and divergent motions of two substrates over which an initially uniform layer of a Newtonian liquid rests. We ...

A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

Abstract In this paper we used the improved least square method presented to solve Fredholm integral equation of the second kind .This method combines, forward and backward factorial polynomial and quasi orthogonal polyn...

Abstract: In this paper we used successive approximate method (S.A.M.) to solve Fredholm integral equation of the first kind (F.I.E.1st. K.) with symmetric kernel. And also suggested an algorithm for this method the comp...