CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Solving Differential Equations of Second Order using Quadratic Legendre Multi-wavelets (QLMW) with Operational Matrix of Integration

by Meenu Devi, S. R. Verma, M. P. Singh
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 75 - Number 15
Year of Publication: 2013
Authors: Meenu Devi, S. R. Verma, M. P. Singh
10.5120/13190-0912

Meenu Devi, S. R. Verma, M. P. Singh . Solving Differential Equations of Second Order using Quadratic Legendre Multi-wavelets (QLMW) with Operational Matrix of Integration. International Journal of Computer Applications. 75, 15 ( August 2013), 43-49. DOI=10.5120/13190-0912

@article{ 10.5120/13190-0912,
author = { Meenu Devi, S. R. Verma, M. P. Singh },
title = { Solving Differential Equations of Second Order using Quadratic Legendre Multi-wavelets (QLMW) with Operational Matrix of Integration },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 75 },
number = { 15 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 43-49 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume75/number15/13190-0912/ },
doi = { 10.5120/13190-0912 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:44:23.271700+05:30
%A Meenu Devi
%A S. R. Verma
%A M. P. Singh
%T Solving Differential Equations of Second Order using Quadratic Legendre Multi-wavelets (QLMW) with Operational Matrix of Integration
%J International Journal of Computer Applications
%@ 0975-8887
%V 75
%N 15
%P 43-49
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper is suggested an efficient method to solve differential equations. Using quadratic Legendre multi-wavelets approximation method, differential equations are converted into the system of algebraic equations with the help of operational matrix of integration and its product. Some illustrative examples are included to show the efficiency and applicability of the method.

References
  1. Daubechies, I. , Ten Lectures on Wavelets, SIAM, Philadelphia, PA, 1992.
  2. Ricker, N. , The Form and Laws of Propagation of Seismic Wavelets, Geophysics, 18(1953), 10-40.
  3. Robinson, E. A. , Random Wavelets and Cybernetic Systems, Griffin and Co. , London, 1962.
  4. Robinson, E. A. , Wavelet composition of time series, in H. O. A. Wold ed. , Econometric model building, essays on the causal chain approach: North Holland Publishing CO. , (1964a), 37-106.
  5. Morlet, J. , et al, Wave Propagation and Sampling Theory, Part-1, Complex Signal Land Scattering In Multilayer Media, J. Geophys, 47(1982a), 203-221.
  6. Morlet, J. , et al, Wave Propagation and Sampling Theory, Part 2: Sampling Theory and Complex Waves, J Geophys, 47(1982b), 222-236.
  7. Debnath, L. , Wavelet Transforms and Their Applications, Birkhauser, Boston, 2002.
  8. Resnikoff, H. L. and Wells, R. O. Jr. , Wavelet Analysis, Springer-Verlag New York, Inc. 2004.
  9. Babolian, E. and Fattahzdeh, F. , Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration, Applied Mathematics and Computation, 188(2007), 417-426.
  10. Yousefi, S. A. , Legendre wavelet method for solving differential equations of Lane- Emden type, Applied Mathematics and Computation, 181(2006), 1417-1422.
  11. Pathak, A. , Numerical solution of linear integro-differential equations by using quadratic Legendre multi-wavelet direct method, Advanced Research in Scientific Computing, 4(2012), 1943-2364.
  12. Soman, K. P. and Ramachandran, K. I. , Insights Into Wavelets From Theory to Practice, PHI learning, 2010.
  13. Razzaghi, M. and Yousefi, S. , The Legendre wavelets operational matrix of integration, International Journal of System Science, 32(2001), 495-502.
Index Terms

Computer Science
Information Sciences

Keywords

Quadratic Legendre wavelets Quadratic Legendre multi-wavelets Operational matrix of integration Differential equations.

Powered by PhDFocusTM