New algorithm for first order stiff initial value problems

• Autorzy: Adesanya A. O. , Onsachi R. O. , Odekunle M. R.

Identyfikatory

DOI

10.1515/fascmath-2017-0002

• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the development and implementation of algorithms for the solution of stiff first order initial value problems. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme that is evaluated at selected grid points to give discrete methods. The stability properties of the method is verified and numerical experiments show that the new method is efficient in handling stiff problems.

Słowa kluczowe

EN

exponentially-fitted method; interpolation; collocation; stability properties; continuous method; stiff problems

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 58
• Strony: 19--28
• Opis fizyczny: Bibliogr. 20 poz., tab.

Twórcy

autor

Adesanya A. O.

• Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria

autor

Onsachi R. O.

• Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria

autor

Odekunle M. R.

• Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).