The Physical Application of Motion Using Single Step Block Method
Ayinde Muhammed Abdullahi
Department of Mathematics, University Abuja, Nigeria.
Ibrahim Salihu
Department of Mathematics, University Abuja, Nigeria.
Sabo John
*
Department of Mathematics, Adamawa State University, Mubi 650001, Nigeria.
Silas Daniel
Department of Mathematics, Adamawa State University, Mubi 650001, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The manuscript proposed a physical application of single step block method using the interpolation and collocation procedure for the direct solution second order physical oscillatory initial value problem. The properties of the new method which include error constant, order, zero-stability, consistency and convergent are established and satisfied. The new method was tested on some second order oscillatory initial value problems and compared with the existing works in literature, and later the new method revealed its superiority by producing less error if compared. Therefore, the new method does not required much computation when compared with predictor corrector methods.
Keywords: Physical application, single step, power series, predictor corrector, mass spring and simple harmonic motion