Theoretical analysis of exponential transversal method of lines for the diffusion equation
- Univ. of Kentucky, Lexington, KY (United States). Dept. of Mechanical Engineering
- Univ. Central de Venezuela, Caracas (Venezuela). Escuela de Computacion
- Idaho State Univ., Pocatello, ID (United States). Coll. of Engineering
Recently a new approximate technique to solve the diffusion equation was proposed by Campo and Salazar. This new method is inspired on the Method of Lines (MOL) with some insight coming from the method of separation of variables. The proposed method, the Exponential Transversal Method of Lines (ETMOL), utilizes an exponential variation to improve accuracy in the evaluation of the time derivative. Campo and Salazar have implemented this method in a wide range of heat/mass transfer applications and have obtained surprisingly good numerical results. In this paper, the authors study the theoretical properties of ETMOL in depth. In particular, consistency, stability and convergence are established in the framework of the heat/mass diffusion equation. In most practical applications the method presents a very reduced truncation error in time and its different versions are proven to be unconditionally stable in the Fourier sense. Convergence of the solutions is then established. The theory is corroborated by several analytical/numerical experiments.
- OSTI ID:
- 418153
- Report Number(s):
- CONF-960815-; ISBN 0-7918-1513-7; TRN: IM9705%%531
- Resource Relation:
- Conference: 31. national heat transfer conference, Houston, TX (United States), 3-6 Aug 1996; Other Information: PBD: 1996; Related Information: Is Part Of ASME proceedings of the 31. national heat transfer conference: Volume 9. HTD-Volume 331; Hadim, H.A. [ed.] [Stevens Institute of Technology, Hoboken, NJ (United States)]; Charmchi, M. [ed.] [Univ. of Massachusetts, Amherst, MA (United States)]; Cochran, R. [ed.] [Sandia National Labs., Albuquerque, NM (United States)]; Ramaswamy, B. [ed.] [Rice Univ., Houston, TX (United States)]; Figliola, R.S. [ed.] [Clemson Univ., Georgetown, SC (United States)]; PB: 158 p.
- Country of Publication:
- United States
- Language:
- English
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