Apply Adomian Decomposition Method (ADM) and Haar Wavelet Method (HWM) for Applications of linear Differential Equations

Apply Adomian Decomposition Method (ADM) and Haar Wavelet Method (HWM) for Applications of linear Differential Equations

 Irfan Ul Haq1*,  Sandeep Kumar Tiwari2, Pradeep Porwal3 and Naveed Ul Haq4

1*Research Scholar, School of Studies in Mathematics Vikram University, Ujjain M.P. 456010, India. Email: shahirfan3926@gmail.com ,  telephone no. +919797786405

Address: Nipora  Anantnag Kashmir 192101

2Head, School of Studies in Mathematics, Vikram University, Ujjain, 456010, M.P. , India. Email: skt-tiwari75@yahoo.co.in

3Assistant Professor, School of Studies in Mathematics, Vikram University, Ujjain, 456010, M.P. , India.

4Research Scholar, School of Studies in Mathematics Vikram University, Ujjain M.P. 456010, India.

*Corresponding author

Abstract

In this work, the numerical solution of the equations arising in simple harmonic motion and free oscillation is found using the Adomian decomposition method (ADM). For comparison analysis, the Haar wavelet method (HWM) is used. Some numerical examples have been performed to illustrate the accuracy of the present work.

Keywords: Oscillatory motion, Adomian decomposition method (ADM), Haar wavelet method (HWM), Simple Pendulum