Please use this identifier to cite or link to this item: http://ir.futminna.edu.ng:8080/jspui/handle/123456789/453
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dc.contributor.authorGarba, Jamiu-
dc.contributor.authorMohammed, Umaru-
dc.date.accessioned2021-05-31T05:01:40Z-
dc.date.available2021-05-31T05:01:40Z-
dc.date.issued2020-03-01-
dc.identifier.citationJamiu Garba_ and Umaru Mohammed (2020) Derivation of a New One-Step Numerical Integrator for Solving First Order Ordinary Deferential Equation Nigerian Journal of Mathematics and Application. Vol. 30, pp. 125-135en_US
dc.identifier.issnISSN: 0795 2767-
dc.identifier.urihttp://repository.futminna.edu.ng:8080/jspui/handle/123456789/453-
dc.description.abstractThis article presents a new class of one-step second derivative hybrid block method to solve general first order initial value problems of ordinary differential equations. The method is derived by interpolating an approximated power series at one point and collocating its first and second derivatives at some carefully selected intra-step points. The method is implemented in a block form to overcome the setbacks of applying starting values and predictors. The basic properties of the method were analysed and found to be a method of order of accuracy 10 and A-stable. The efficacy of the method is tested on several first order ordinary differential equations which include autonomous and non-autonomous equations, stiff systems and oscillatory problems and results compared with exact solutionsen_US
dc.language.isoenen_US
dc.publisherMathematical Association of Nigeriaen_US
dc.subjectOne-Stepen_US
dc.subjectNumerical Integratoren_US
dc.titleDerivation of a New One-Step Numerical Integrator for Solving First Order Ordinary Differential Equationsen_US
dc.typeArticleen_US
Appears in Collections:Mathematics

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