Ratesh Kumar
Department of Mathematics, Lovely Professional University, Phagwara, 144411, Punjab, India.

Jaya Gupta
Department of Mathematics, Lovely Professional University, Phagwara, 144411, Punjab, India,

DOI https://doi.org/10.33889/IJMEMS.2023.8.5.055

  ;

Abstract

A comparative study of scale-2 and scale-3 Haar wavelet has been presented to illustrate the level of accuracy attained by both the wavelets by applying on higher order differential equations known as Emden fowler equation, which has great importance in the field of astrophysics. Approximation of space variable is done by scale-2 and scale-3 Haar wavelet method by choosing different scales. The method is tested upon several test problems. The results are computed and compared in the form of absolute errors. The numerical tests confirm the accuracy, applicability and efficiency of the proposed method with different levels using both the wavelets. By the help of MATLAB algorithm simplification of the computational process is done.

Keywords- Higher order differential equations, Haar scale-2 wavelet (HS2WM), Haar scale-3 wavelet (HS3WM), Quasi linearisation technique, Emden fowler equation.

Citation

Kumar, R., & Gupta, J. (2023). A Comparative Study using Scale-2 and Scale-3 Haar Wavelet for the Solution of Higher Order Differential Equation. International Journal of Mathematical, Engineering and Management Sciences, 8(5), 966-978. https://doi.org/10.33889/IJMEMS.2023.8.5.055.