Sains Ma1aysiana 25(1): 127-144 (1996)                                                                            Sains Matematik/

                                                                                                                                        Mathematical Sciences

Beberapa Penyelesaian Berangka bagi Persamaan

Resapan-Olakan dalam Ruang Dua Dimensi

(Some numerical solutions for solving diffusion-convection

equations in two dimensional space)

Harbans Kaur & Abdul Rahman Abdullah

Jabatan Komputeran lndustri

Fakulti Teknologi dan Sains Maklumat

Universiti Kebangsaan Malaysia

43600 UKM Bangi Selangor D.E. Malaysia

ABSTRAK

Beberapa kaedah berangka bagi menyelesaikan persamaan resapan-olakan dalam ruang dua dimensi telah dirumuskan. Skema lelaran untuk setiap satunya dikaji dan pengujian berangka kepada masalah model dilakukan. Perbandingan antara kaedah telah diberikan secara berjadual.

ABSTRACT

Some numerical methods for solving diffusion-convection equations in two dimensional space are formulated. Iterative scheme for each method is studied and numerical test to model problem is conducted. Comparison of methods is given in table form.

RUJUKAN/REFERENCES

Abdullah, A. R. 1983. The study of some numerical methods for solving parabolic partial differential equations. Tesis PhD. Loughborough University of Technology.

Abdullah, A. R. 1991. The four point explicit decoupled group (EDG) method: a fast poisson solver. Intern. J. Computer Math. 38: 61-70.

Crank, J. & Nicolson, P. 1947. A practical method for numerical evaluation of solutions of heat-conduction type. Proc. Camb. Phil. Soc. 43: 50-67.

Dahlquist, G. & Bjork. 1974. Numerical methods. Englewood Cliffs, N.J: Prentice Hall.