FOURTH-ORDER ACCURATE FINITE DIFFERENCE SOLUTION OF THE TRANSIENT HEAT TRANSFER EQUATION

Authors

  • Waqar Asrar Department of Aerospace Engineering Faculty of Engineering University Putra Malaysia 43400 UPM Serdang Selangor
  • Leong Wah June Department of Aerospace Engineering Faculty of Engineering University Putra Malaysia 43400 UPM Serdang Selangor
  • Md. Moslemuddin Fakir Department of Aerospace Engineering Faculty of Engineering University Putra Malaysia 43400 UPM Serdang Selangor

Keywords:

High-order compact finite difference scheme, Transient Diffusion, heat equation

Abstract

In this paper a high-order compact solution is presented for the transient diffusion equation
subject to both homogeneous as well as insulated boundary conditions. The finite difference
scheme is fourth order accurate both in space and time. The central difference scheme is used to approximate the space derivatives. The higher order terms in 'the Taylor series expansion are approximated using the governing differential equations. The difference equations are integrated by applying a Runge-Kutta scheme. Numerical results are compared with exact solutions.

References

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Published

2018-05-14

How to Cite

Asrar, W., Wah June, L., & Fakir, M. M. (2018). FOURTH-ORDER ACCURATE FINITE DIFFERENCE SOLUTION OF THE TRANSIENT HEAT TRANSFER EQUATION. Jurnal Mekanikal, 11(1). Retrieved from https://jurnalmekanikal.utm.my/index.php/jurnalmekanikal/article/view/262

Issue

Section

Mechanical

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