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
- Aaron Enechojo Auduson, Abdullahi Emmanuel Bala, Kizito Ojochenemi Musa,, Mary Melemu Shaibu, Michael Adewale Ibitomi, Ijeoma Milicent Agbo-Okiyi, Baba Aminu Muawiya, Fabian Apeh Akpah, Philomina Okanigbuan, Ifeanyi Obihan, Integrated Geoscientific Techniques for Water Resource Potential: A Case Study of Felele Campus, Federal University Lokoja , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Uduak Irene Aletan, Abraham Gana Yisa, Sunday Adenekan, Abiodun Emmanuel Adams, Antioxidant Properties and Reproductive Health Benefits of Opa eyin Herbal Concoction: In vitro and In vivo Evaluation , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- 1. Anthony I. G. Ekedegwa, Evans Ashiegwuike, Abdullahi Mohammed S. B, Seasonal Short-Term Load Forecasting (STLF) using combined Social Spider Optimisation (SSO) and African Vulture Optimisation Algorithm (AVOA) in Artificial Neural Networks (ANN) , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- Olusegun Sawole, Kolawole Abiodun Egunjobi, Adebola Daniel Awofodu, Health Risk Assessment of Natural Radionuclides Ingestion from Selected Edible Crops in Farmlands Around Limestone Excavation Area in Ewekoro, Ogun State , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
- YUSUF MOHAMMED AUWAL, OSITA CHUKWUDI MELUDU, TIMTERE PASCAL, Computational Modeling and validation of Indoor Radon Gas Dynamics and Accumulation Using Ansys Fluent Simulation , Communication In Physical Sciences: Vol. 12 No. 4 (2025): VOLUME1 2 ISSUE 4
- Joseph Jacob, Paul Andrew P. Mamza, Mechanism of Water Absorption Behaviour in Groundnut Shell Powder Filled Waste HDPE Composites , Communication In Physical Sciences: Vol. 6 No. 1 (2020): VOLUME 6 ISSUE 1
- Mosunmade Aiyejagbara, Kevin Ejiogu, Uche Ibeneme, Tachye N.B Shekarri, A Study On The Effect Of Corn Cob Nano Particles On The Physico-Mechanical Properties Of Waste Expanded Polystyrene , Communication In Physical Sciences: Vol. 12 No. 4 (2025): VOLUME1 2 ISSUE 4
- Olumide Oni, Kenechukwu Francis Iloeje, Optimized Fast R-CNN for Automated Parking Space Detection: Evaluating Efficiency with MiniFasterRCNN , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Bayode Adeyanju, Development and Application of a Novel Bi-functional Heat Treatment Furnace: A Review , Communication In Physical Sciences: Vol. 12 No. 5 (2025): Vol 12 Issue 5
- Akens Hamilton-Amachree , Ngozi M. Uzoekwe, Phytoconstitution and Antimicrobial Activity of Costus Lucanusianus Floral Volatile Extract , Communication In Physical Sciences: Vol. 9 No. 1 (2023): VOLUME 9 ISSUE 1
You may also start an advanced similarity search for this article.