In the first part of our paper we discuss linear 2nd order differential equations in complex domain, especially Heun class equations, that is, equation and its confluent cases. The second is devoted to Painlev\'e I-VI equations. Our philosophy treat these families a unified way. This works well for We classification into 5 supertypes, subdivided 10 types (not counting trivial cases). also intro...

Background and Objectives: Studies indicate over-estimation of basal metabolic rate (BMR) using common equations for the Asian people. The present study aims to develop new predictive equations for the Iranian people and to compare these equations with commonly used formulas. Materials and Methods: Total, 150healthy subjects aged 18-60 yrare invited to the Laboratory of Nutrition Research, Nat...

in this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the fr´echet spaces. our aim is to provide a few generalization of tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of tych...

in this work, we proposed an efective method based on cubic and pantic b-spline scaling functions to solve partial differential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

this work investigates the response of two-dimensional, turbulent boundary layer characteristics over a flat plate to the presence of suspended particulate matter. both phases are assumed to be interacting continua. that is, the carrier fluid equations are considered to be coupled with the particle-phase equations. a finite-difference technique with non-uniform grid has been employed for the so...