Full Length Research Paper
ABSTRACT
In this study, we developed a new numerical finite difference method for solving various diffusion convection equations. The method involves reduction of the diffusion convection equations to a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions. The study of the numerical accuracy of the method has shown that the method provides similar results to the known explicit finite difference method for solving diffusion convection equations, but with fewer numbers of iterations.
Key words: Lines, multistep collocation, parabolic, Taylor’s polynomial.
INTRODUCTION
THE SOLUTION METHOD
ADVANTAGE OF THE NEW SCHEME OVER FINITE DIFFERENCE METHOD
NUMERICAL EXAMPLES
SPECIFIC PROBLEM
CONCLUSION
CONFLICT OF INTERESTS
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