An Efficient New Scheme for Direct Simulation of Higher Order Third and Fourth Oscillatory Differential Equations
DOI :
https://doi.org/10.62054/ijdm/0101.06Mots-clés :
Direct simulation; Convergence; Consistency; Error constant; Linear stability; Oscillatory differential equationsRésumé
In this research, we have examined the general block approach for solving higher-order oscillatory differential equations using the linear block approach (LBA). The basic properties of the new method, such as order, error constant, zero-stability, consistency, convergence, linear stability, and region of absolute stability, were also analyzed and satisfied. Some distinct fourth-order oscillatory problems were directly applied to the new method in order to overcome the setbacks of the reduction method. The results obtained were compared with those in the literature, and the new method takes away the burden of solving fourth-order oscillatory differential equations. Therefore, from the results, the new method has shown better accuracy and faster convergence graphically. One of the advantages of the new method is that it does not require much computational burden and is also self-starting.
Convergence, Consistency, Direct simulation, Linear stability, Oscillatory differential equations
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Dear Editor-in-Chief,
I would like to send the International Journal of Development Mathematics (IJDM) a new work titled “An Efficient New Scheme for Direct Simulation of Higher Order Third and Fourth Oscillatory Differential Equations" for publication. Outstanding research in this area includes the title is succinct and captures the goals and conclusions of the study. The title does not contain any unnecessary equations or unusual abbreviations. The full first and last names of the author(s) have been written below the title.
I hereby certify that the work in question is original, has not been previously published, and is not being considered for publication anywhere.
Aloko Macdonald Damilola-Writing original draft, Validation and Resources
Abdullahi Muhammed Ayinde- Writing review and editing, Visualization and checking plagiarism
John Sabo-Formal analysis, Methodology, Conceptualization, Analysis of the results
Usman Ahmed Danbaba-Software and Project administration
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