Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2754

Full Length Research Paper

Haar Wavelet-Picard technique for fractional order nonlinear initial and boundary value problems

Umer Saeed
  • Umer Saeed
  • School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan.
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Mujeeb ur Rejman
  • Mujeeb ur Rejman
  • School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan.
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Muhammad Asad Iqbal
  • Muhammad Asad Iqbal
  • Department of Mathematics, Faculty of Sciences, HITEC University Taxila, Pakistan.
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  •  Received: 18 December 2013
  •  Accepted: 28 February 2014
  •  Published: 30 June 2014

References

Babolian E, Shahsavaran A (2009). Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. J. Comput. Appl. Math. 225:87-95.
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Bellman RE, Kalaba RE (1965). Qusailinearization and Nonlinear Boundary Value Problems. Am. Elsev. Publish. Comp.
 
Chen CF, Hsiao C H (1997). Haar wavelets method for solving lumped and distributed-parameter systems, IEE proceed. Cont. Theo. Appl. P. 144.
 
Daubechies I (1990). The wavelet transforms, time-frequency localization and signal analysis. IEEE Transact. Inf. Theo. 36:961-1005.
Crossref
 
Kiymaz O (2010). Variational iteration method for a class of nonlinear differential equations. Int. J. Contemp. Math. Sci. 5:1819-1826.
 
Mujeeb ur Rehman, Khan RA (2012). A Numerical method for solving boundary value problems for fractional differential equations. Appl. Math. Model. 36:894-907.
 
Podlubny I (1999). Fractional differential equations. Acad. Press, San Diego.
 
Siraj-ul-Islam I, Aziz I, Sarler B (2010). The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets. Math. Comp. Model., 52:1577-1590
Crossref