SOLVING LINEAR AND NON-LINEAR STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS BY MULTISTAGE ADOMIAN DECOMPOSITION METHOD
Published In: 3RD INTERNATIONAL CONFERENCE ON ADVANCES IN APPLIED SCIENCE AND ENVIRONMENTAL TECHNOLOGY
Author(s): I. HASHIM , M. S. H. CHOWDHURY , MD. ALAL HOSEN
Abstract: In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs).
- Publication Date: 29-Dec-2015
- DOI: 10.15224/978-1-63248-084-2-46
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COUPLED HEAT AND MASS TRANSFER MODEL TO SIMULATE HYGROTHERMAL BEHAVIOUR OF BIO-BASED MATERIALS
Published In: 3RD INTERNATIONAL CONFERENCE ON ADVANCES IN APPLIED SCIENCE AND ENVIRONMENTAL TECHNOLOGY
Author(s): A.CHAUCHOIS , D.DEFER, E.ANTCZAK , F.BRACHELET , M.ASLI
Abstract: Natural fibre materials, with bio-sourced characteristics, are advanced materials used in building construction and renovation. They have various advantages, such as good thermal insulation, high moisture buffering, and low impact environmental. Our research focuses on three different natural fibre materials: hemp concrete, wood wool, and sheep wool. Thus, to analyse their hygrothermal behaviour, we provide a numerical simulation and a comparative study.
- Publication Date: 29-Dec-2015
- DOI: 10.15224/978-1-63248-084-2-45
- Views: 0
- Downloads: 0