A Fifth-Order Five-Stage Trigonometrically-Fitted Improved Runge-Kutta Method for Oscillatory Initial Value Problems
Keywords:
Improved Runge-Kutta (IRK) method, Initial value Problem, Oscillating solution, Trigonometric fittingAbstract
Aliyu Umar Mustapha, Abdulrahman Ndanusa, and Ismail Gidado Ibrahim
A fifth-order five-stage trigonometrically-fitted Improved Runge-Kutta (TFIRK5-5) method for solving first-order initial value problems (IVPs) has been derived and analyzed in this work. The method is shown to integrate exactly the initial value problem whose solution is a linear combination of the set functions and trigonometrically fitted. For exponentially fitted, where, being the main frequency of the problem, is used to increase the accuracy of the method. The numerical results revealed the effectiveness of the new method in comparison with other existing methods in the literature.
Downloads
Published
2021-07-08
Issue
Section
Articles
Most read articles by the same author(s)
- Abdulrahman Ndanusa, Convergence of Preconditioned Gauss-Seidel Iterative Method For Matrices , Communication In Physical Sciences: Vol. 6 No. 1 (2020): VOLUME 6 ISSUE 1
Similar Articles
- Nyeneime W. Akpanudo, Onyeiye Ugomma Chibuzo, Musanga cecropioides Sawdust as an Adsorbent for the Removal of Methylene Blue from Aqueous Solution , Communication In Physical Sciences: Vol. 5 No. 3 (2020): VOLUME 5 ISSUE 3
- Chigozie. Chibuisi, Bright O. Osu, Kevin Ndubuisi C. Njoku, Chukwuka Fernando Chikwe, A Mathematical Investigation of Fuel Subsidy Removal and its Effects on Nigerian Economy , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- Nkem B. Iroha, Richard A. Ukpe, Investigation of the Inhibition of the Corrosion of carbon steel in Solution of HCl by Glimepiride , Communication In Physical Sciences: Vol. 5 No. 3 (2020): VOLUME 5 ISSUE 3
- Felicia Uchechukwu Okwunodulu, Stevens Azubuike Odoemelam, Remediation of effluents polluted with toxic heavy metals using Cola nitida pod husk , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Anduang Ofuo Odiongenyi, Removal of Ethyl Violet Dye from Aqueous Solution by Graphite Dust and Nano Graphene Oxide Synthesized from Graphite Dust , Communication In Physical Sciences: Vol. 4 No. 2 (2019): VOLUME 4 ISSUE 2
- Felicia Uchechukwu Okwunodulu, Stevens Azubuike Odoemelam, Comparative Studies On Infrared Analysis of Some Waste Biomass in Heavy Metals Adsorption , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Ubong Ime Essien, Anduang Odiongenyi, Clement Obadimu, Iniobong Enengedi, Investigation of Snail shells as an Adsorbent and Precursor for the synthesis of Calcium Oxide Nanoparticles for the Removal of Amoxicillin from Aqueous Solution , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
- Edikan E. Akpanibah, Optimization of investment strategies for a Defined Contribution (DC) plan member with Couple Risky Assets, Tax and Proportional Administrative Fee , Communication In Physical Sciences: Vol. 7 No. 1 (2021): VOLUME 7 ISSUE 1
- Ugoetan Victor Agbogo, Rifore Belief Silas, Victor Inioluwa Olaoye, Philip Ifeanyi Jerome, Mathew Joshua, Investigation of the Inhibitive Properties of Bio-Inspired Starch-Polyvinyl Acetate Graft Copolymer (Ps-Pvagc) on the Acid Corrosion of Mild Steel , Communication In Physical Sciences: Vol. 10 No. 2 (2023): VOLUME 10 ISSUE 2
- Akwuegbu, Ozochi Chinyere, Oriaku, Chijioke Innocent , Dinneya, Obinna Christian, Nkpoku, Emmanuel Chidiebere, Nwaehiodo, Immaculate Ihechi, Graphical Solution of Eigenstate of an Electron in a Finite Quantum Well , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
You may also start an advanced similarity search for this article.