Skip to main content
SpringerLink
Log in

Haar Wavelet: History and Its Applications

  • Conference paper
  • First Online:
Mathematical Modelling and Scientific Computing with Applications (ICMMSC 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 308))

  • 715 Accesses

Abstract

In this paper, we have given a brief history of the Haar wavelet. Later the operational matrix which is obtained from Haar wavelet is used to find the numerical solutions of some differential equations. The solutions thus obtained from operational matrix method are compared with exact solution as well as solution from Runge-Kutta method and Modified Euler’s method is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Chen, C., Hsiao, C.H.: Haar wavelet method for solving lumped and distributed parameter system. IEE Proc. Control Theory Appl. 144, 87–94 (1997)

    Article  Google Scholar 

  2. Chui, C.K.: An Introduction to Wavelets. Academic Press, San Diego, CA (1992)

    MATH  Google Scholar 

  3. Daubechies, I.: Ten Lectures on Wavelet. SIAM Philadelphia (1992)

    Google Scholar 

  4. Davis, M.E.: Numerical Methods and Modeling for Chemical Engineers, pp. 54–63. Dover Publication, New York (2013)

    Google Scholar 

  5. Graps, A.: An Introduction to wavelet. IEEE Comput. Sci. Eng. 2, 50–61 (1995)

    Article  Google Scholar 

  6. Jena, M.K., Sahu, K.S.: Haar wavelet operational matrix method to solve initial value problems: a short survey. Int. J. Appl. Comput. Math. 3, 3961–3975 (2017)

    Article  MathSciNet  Google Scholar 

  7. Lepik, U.: Numerical solution of differential equations using Haar wavelets. Math. Comput. Simul. 68, 127–143 (2005)

    Article  MathSciNet  Google Scholar 

  8. Lepik, U., Hein, H.: Haar Wavelets With Applications. Springer, Berlin (2014)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur, Odisha, 768018, India

    Mahendra Kumar Jena & Kshama Sagar Sahu

Authors
  1. Mahendra Kumar Jena
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kshama Sagar Sahu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kshama Sagar Sahu .

Editor information

Editors and Affiliations

  1. Discipline of Mathematics, Indian Institute of Technology Indore, Indore, Madhya Pradesh, India

    Santanu Manna

  2. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, USA

    Biswa Nath Datta

  3. Discipline of Mathematics, Indian Institute of Technology Indore, Indore, Madhya Pradesh, India

    Sk. Safique Ahmad

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jena, M.K., Sahu, K.S. (2020). Haar Wavelet: History and Its Applications. In: Manna, S., Datta, B., Ahmad, S. (eds) Mathematical Modelling and Scientific Computing with Applications. ICMMSC 2018. Springer Proceedings in Mathematics & Statistics, vol 308. Springer, Singapore. https://doi.org/10.1007/978-981-15-1338-1_12

Download citation

Publish with us

Policies and ethics

Search

Navigation