SELECTED SINGLE-STEP HYBRID BLOCK FORMULA FOR SOLVING THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATION IN THIN FILM FLOW

Authors

  • Oboni Atabo
    Ahmadu Ribadu College, Yola
  • Praveen ARGAWAL
  • Alvary Kefas KWALA
  • Niongon Reuben ANONGO

Keywords:

Selected single-step, basis function, Hybrid block formula, interpolation and collocation, thin film flow problem

Abstract

This research paper examines the derivation of selected hybrid single-step block method for the numerical integration of third order ordinary differential equations. The method has the advantage of selecting only odd off-grid points within the interval of interest. The basis function for the formula is interpolated at three selected non-grid points within a single-step interval and collocated at all points. Further analysis of the basic numerical properties were established. The method was found to be A-stable, zero-stable and consistent. The small scale errors observed from numerical experiment indicate that the derived formula has better numerical approximations than some comparable methods in literature, while its application on practical thin film flow problem also showed improved solutions.

Dimensions

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Published

07-01-2023

How to Cite

SELECTED SINGLE-STEP HYBRID BLOCK FORMULA FOR SOLVING THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATION IN THIN FILM FLOW. (2023). FUDMA JOURNAL OF SCIENCES, 6(6), 150-168. https://doi.org/10.33003/fjs-2022-0606-1152

Issue

Vol. 6 No. 6 (2022): FUDMA Journal of Sciences - Vol. 6 No. 6

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

SELECTED SINGLE-STEP HYBRID BLOCK FORMULA FOR SOLVING THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATION IN THIN FILM FLOW. (2023). FUDMA JOURNAL OF SCIENCES, 6(6), 150-168. https://doi.org/10.33003/fjs-2022-0606-1152