Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.

stefan problem with kinetics is reduced to a system of nonlinear volterra integral equations of second kind and newton's method is applied to linearize it. product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. an example is provided to illustrated the applicability of the method.

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...

Abstract The goal of this paper is to determine if there product market integration in the euro area (EA). employs LM and RALS-LM unit root tests with two breaks on relative price series, constructed using seasonally adjusted monthly Harmonized Index Consumer Prices (HICP), from 1996:01 2017:05. analysis shows EA-accession related series for most EA11 countries, but, apart Malta, no such later-...

Purpose: This study tries to examine how a company utilizes knowledge integration mechanisms (KIMs) to achieve the success of product innovation in a new product development (NPD)

Product line developers must ensure that existing and new features work in all products. Adding to or changing a product line might break some of its features. In this paper, we present a technique for automatic and agile interaction testing for product lines. The technique enables developers to know if features work together with other features in a product line, and it blends well into a proc...

The impact of supply chain integration on new product development has been very well studied in literature. However, little literature examines the relationship between supplier integration and customer integration when they influence new product performance. This study aims to explore the complicated relationships among supplier integration, customer integration and new product performance via...