NUMERICAL APPROXIMATIONS OF FOURTH-ORDER PDES USING BLOCK UNIFICATION METHOD

Authors

  • M. I. MODEBEI DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILORIN, ILORIN
  • R. B. ADENIYI DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILORIN, ILORIN
  • S. N. JATOR DEPARTMENT OF MATHEMATICS AND STATISTICS, AUSTIN PEAY STATE UNIVERSITY CLARKSVILLE, TN 37044

Abstract

In this paper, a continuous linear multistep method is derived and used to formulate a block unification method (BUM), which is applied to solve fourth-order PDEs with appropriate initial and boundary conditions. Specifically, the method is used to solve the fourth order PDEs by first converting the PDEs into system of fourth-order ordinary differential equations (ODEs) via the method of lines, by replacing one of the variables with a finite difference method. The convergence properties of the method is discussed and some test problems are presented to demonstrate the accuracy of the method.

References

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Published

2020-05-08

How to Cite

MODEBEI, M. I., ADENIYI, R. B., & JATOR, S. N. (2020). NUMERICAL APPROXIMATIONS OF FOURTH-ORDER PDES USING BLOCK UNIFICATION METHOD. Journal of the Nigerian Mathematical Society, 39(1), 47-68. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/544

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