Determination of the Order and the Error Constant of an Implicit Linear-Four Step Method

  • Fadugba Sunday Emmanuel Ekiti State University, Nigeria
Keywords: Error constant, Implicit case, Linear four-step method, Order

Abstract

The aim of this work is to determine the order and the error constant of an implicit linear-four step method namely “The Quade’s method”. From the results generated, It is observed that the method is of order six and the error constant is obtained as . The Local Truncation Error (LTE) of the general implicit linear four-step is obtained.

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Author Biography

Fadugba Sunday Emmanuel, Ekiti State University, Nigeria

Department of Mathematics, Ekiti State University, PMB 5363, Ado Ekiti, Nigeria

References

Fadugba, S. , Ogunrinde, B. and Okunlola, T. Euler’s Method for Solving Initial Value Problems in Ordinary Differential Equations, Pacific Journal of Science and Technology, Vol. 13, No. 2, 152-158, 2012.
Fatunla, S.O., Rheinboldt, W. and Siewiorek, D., Numerical methods for initial value problems in ordinary differential equations, Series: Computer science and scientific computing publisher: First edition, Elsevier Inc, Academic press, 1988.
Lambert, J.D., Computational methods in ordinary differential equations, John Wiley & Sons Inc, 1973.
Lambert, J.D., Numerical methods for ordinary differential systems: the initial value problem, First edition, Wiley, 1991.
Published
2018-12-30
How to Cite
Emmanuel, F. (2018). Determination of the Order and the Error Constant of an Implicit Linear-Four Step Method. MathLAB Journal, 1(3), 336-342. Retrieved from http://purkh.com/index.php/mathlab/article/view/226
Section
Research Articles