One Step Trigonometrically- tted Third Derivative Method with Oscillatory Solutions

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 6

Abstract

A continuous one step Trigonometrically- tted Third derivative method whose coecients depend on the frequency and step size is derived using trigonometric basis function. The method obtained is use to solve standard problems with oscillating solutions. We also discuss the stability properties of the new method . Numerical result obtained via the implementation of the methods shows that the new method performs better than the one step Trigonometrically- tted second derivative method proposed by Ngwane and Jator [1].

Authors and Affiliations

A. O. Adeniran, I. O. Longe

Keywords

Related Articles

Generalized Hyers-Ulam Stability of a Cubic reciprocal Functional Equation

In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form f(2x + y) + f(2x − y) = 4f(x)f(y) [ 4f(y) + 3f(x) 2 3 f(y) 1 3 ] ( 4f(y) 2 3 − f(x) 2 3 )3 in non-Ar...

Calculation of Banzhaf Voting Indices Utilizing Variable-Entered Karnaugh Maps

This paper is a tutorial exposition on how to translate concepts of voting systems to the Boolean domain, and consequently on how to use Boolean tools in the computation of a prominent index of voting powers, viz., the B...

The 7 and 8 Families of Hybrid Block Methods for Numerical Solution of Initial Value Problems in Stiff Equations

An independent hybrid block Simpson’s methods with a very closely accurate members of order p=q+2 as a block was formulated. This was obtained through increasing the number k in the multi-step collocation (MC). Maple sof...

Full Observability Criteria for Linear Impulsive Control Systems with Application to Diabetes Type I Dynamics

The main goal of this paper is to derive a full characterization of the observability of linear time-invariant impulsive systems. Two cases are studied. The rst case considers continuous outputs. A suitable adapted Kalm...

Cyclic-union Operation to Obtain Latin Squares

With the power that has taken the information technologies, one has developed the study and research about cryptography, and cryptanalysis, in which Latin squares are ideal candidates for being used in cryptographic syst...

Download PDF file
  • EP ID EP322532
  • DOI 10.9734/JAMCS/2017/36509
  • Views 89
  • Downloads 0

How To Cite

A. O. Adeniran, I. O. Longe (2017). One Step Trigonometrically- tted Third Derivative Method with Oscillatory Solutions. Journal of Advances in Mathematics and Computer Science, 25(6), 1-7. https://europub.co.uk/articles/-A-322532