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
- Yakubu Isa, Radiya Muhammad Said, Juliet Wallen Piapna, Abdulhaq Bashir, Development and Applications of the Type II Half-Logistic Inverse Weibull Distribution , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Jamike Danny Mmeka, Godwill Uwadinachi Chukwu, Chukwunenyoke Amos-Uhegbu, Paul Igienekpeme Aigba, Chukwudike Dandy Akoma, Geophysical Investigation of Subsurface Characteristics in Parts of Niger Delta Basin and its Geo-technical Implications: A Case Study of Amuzi-Obowo Area of Imo State, Southern Nigeria. , Communication In Physical Sciences: Vol. 11 No. 1 (2024): VOLUME 11 ISSUE 1
- Comfort M. Ngwu, Stevens A. Odoemelam, Jude C. Nnaji, Chemical synthesis and characterization of zinc, iron and carbon-based nanoparticles and their nanocomposites , Communication In Physical Sciences: Vol. 5 No. 4 (2020): VOLUME 5 ISSUE 4
- Sunday Emmanson Udoh, Ubong Isaac Nelson, Appraisal of Some Existing Technology on Water Quality: Appraisal and Design , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Kolawole Ismail Adekunle, Abubakar Yahaya, Sani Ibrahim Doguwa, Aliyu Yakubu, On the Exponentiated Type II Generalized Topp-Leone-G Family of Distribution: Properties and Applications , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Innocent C. Eli, Godspower C. Abanum, Comparison Between Analytical and Numerical Result of Stability Analysis of a Dynamical System , Communication In Physical Sciences: Vol. 5 No. 4 (2020): VOLUME 5 ISSUE 4
- C. Amos-Uhegbu, Aeromagnetic and Radiometric (Thorium) Data Interpretation for Kimberlite pipe(s) occurrence in Malumfashi North-Central Nigeria , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Okoro Gladys Ihuoma, Nnochiri Ifeoma U., Design and Implementation of an IoT Microcontroller Power Protection and Control System , Communication In Physical Sciences: Vol. 12 No. 5 (2025): Vol 12 Issue 5
- Abubakar Aliyu Umar, Aminu Ismaila, Khaidzir Hamza, Lattice Calculations and Power Distribution for Nigeria Research Reactor-1 (NIRR-1) using Serpent Code , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- G. U. Kaior, N. J. Nwodo, U. S. Oruma, A. Ibezim, A. E. Ochonogor, K. K. Onyia, Nnamdi L. Obasi, Structural, Antimicrobial and in Silico Studies of Some Schiff Bases of Trans-paramethoxycinnamaldehyde Derivatives , Communication In Physical Sciences: Vol. 5 No. 4 (2020): VOLUME 5 ISSUE 4
You may also start an advanced similarity search for this article.