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Paper IV.7

Fourth Order Runge-Kutta Method in 1D for High Gradient Problems

R. Cortell

ETSI de Caminos, Canales y Puertos, Universidad Politecnica de Valencia, Valencia, Spain

doi:10.4203/ccp.19.4.7

R. Cortell, "Fourth Order Runge-Kutta Method in 1D for High Gradient Problems", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 121-124, 1993. doi:10.4203/ccp.19.4.7

Abstract

In this paper, we present numerical studies for problems of diffusion in one dimension with steep gradients. Two examples are given. One is a non-linear problem of diffusion with chemical reaction. The other is a convective-diffusion problem. The solutions are obtained using a Runge-Kutha (R.-K.) method of fourth order with nonconstant values of step size H. The accuracy of the method for situations with steep gradients is demonstrated.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 19 DEVELOPMENTS IN COMPUTATIONAL ENGINEERING MECHANICS Edited by: B.H.V. Topping Paper IV.7 Fourth Order Runge-Kutta Method in 1D for High Gradient Problems R. Cortell ETSI de Caminos, Canales y Puertos, Universidad Politecnica de Valencia, Valencia, Spain doi:10.4203/ccp.19.4.7 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Cortell, "Fourth Order Runge-Kutta Method in 1D for High Gradient Problems", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 121-124, 1993. doi:10.4203/ccp.19.4.7 Abstract In this paper, we present numerical studies for problems of diffusion in one dimension with steep gradients. Two examples are given. One is a non-linear problem of diffusion with chemical reaction. The other is a convective-diffusion problem. The solutions are obtained using a Runge-Kutha (R.-K.) method of fourth order with nonconstant values of step size H. The accuracy of the method for situations with steep gradients is demonstrated. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £58 +P&P)
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