Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations
International Journal on Data Science and Technology
Volume 3, Issue 4, July 2017, Pages: 39-44
Received: Jun. 1, 2017;
Accepted: Aug. 21, 2017;
Published: Sep. 26, 2017
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Kamoh Nathaniel Mahwash, Department of Mathematics/Statistics Bingham University, Karu, Nigeria
Awari Yohanna Sani, Department of Mathematics/Statistics Bingham University, Karu, Nigeria
Chun Pamson Bentse, Department of Mathematics/Statistics Plateau State University Bokkos, Bokkos, Nigeria
This paper presents the derivation techniques of block method for solving higher order initial value problems of ordinary differential equations directly. The method was developed via interpolation and collocation of the shifted Legendre polynomials as basis function. The method is capable of providing the numerical solution at several points simultaneously.
Kamoh Nathaniel Mahwash,
Awari Yohanna Sani,
Chun Pamson Bentse,
Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations, International Journal on Data Science and Technology.
Vol. 3, No. 4,
2017, pp. 39-44.
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