‎‎‎‎‎‎‎‎‎‎‎‎‎This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product‎. ‎The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations‎ which appear in various fields of science such as physics and engineering. ‎The Operational matr...

Modern telecommunications systems are dependent on software for their successful operation. In many cases, the software operates on an established hardware platform and subsequent releases of the system differ primarily in the software component. Because of the increased dependence of the society on advanced telecommunications systems, the reliability and availability of network switching eleme...

in this paper, a new and ecient approach is applied for numerical approximationof the linear dierential equations with variable coecients based on operational matriceswith respect to hermite polynomials. explicit formulae which express the hermite expansioncoecients for the moments of derivatives of any dierentiable function in terms of theoriginal expansion coecients of the function itse...

educational organizations due to entry new competitors in this field, they are drawing a long-term vision for them. in order to achieve an acceptable point in this field, should be internal and external factors including of the challenges and potentials of the accelerator and the opportunities, and also examines the opportunities and then attempt to formulate the optimum strategies. in this pap...

in this paper, we consider the second-kind chebyshev polynomials (skcps) for the numerical solution of the fractional optimal control problems (focps). firstly, an introduction of the fractional calculus and properties of the shifted skcps are given and then operational matrix of fractional integration is introduced. next, these properties are used together with the legendre-gauss quadrature fo...