Summary
In this paper we have derived numerical methods of orderO(h 4) andO(h 6) for the solution of a fourth-order ordinary differential equation by finite differences. A method ofO(h 2) was earlier discussed by Usmani and Marsden [6]. Convergence of the fourth-order method is shown. Two examples are computed to show the superiority of our methods.
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Jain, M.K., Iyengar, S.R.K. & Saldanha, J.S.V. Numerical solution of a fourth-order ordinary differential equation. J Eng Math 11, 373–380 (1977). https://doi.org/10.1007/BF01537095
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DOI: https://doi.org/10.1007/BF01537095