International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2574

Full Length Research Paper

Vectorial reduced differential transform (VRDT) method for the solution of inhomogeneous Cauchy-Riemann system

Tahir Naseem
  • Tahir Naseem
  • Department of Mathematics, HITEC University, Taxila Cantonment, Pakistan.
  • Google Scholar
Muhammad Tahir
  • Muhammad Tahir
  • Department of Mathematics, HITEC University, Taxila Cantonment, Pakistan.
  • Google Scholar


  •  Accepted: 27 January 2014
  •  Published: 30 January 2014

References

 

Baker GA, Graves-Morris P (1981). Pade Approximants I. Addison-Wesley London.
 
Cenesiz Y, Keskin Y, Kurnaz A (2010). The solution of the nonlinear dispersive equations by RDT method. Int. J. Nonlin. Sci. 9(4):461-467.
 
Farmer CL, Howison SD (2006). The motion of a viscous filament in a porous medium or Hele-Shaw cell: A physical realization of the Cauchy-Riemann Equations. Appl. Math. Lett. 19(4):356-361.
http://dx.doi.org/10.1016/j.aml.2005.06.007
 
Gustafson S-A (1978). Convergence acceleration on a general class of power series. Computing 21:53-69.
http://dx.doi.org/10.1007/BF02252194
 
Hadamard J (1923). Lectures on Cauchy's problem in linear partial differential equations. Yale University Press, New Haven.
 
Henrici P (1966). An algorithm for analytic continuation. SIAM J. Numer. Anal. 3:67-78.
http://dx.doi.org/10.1137/0703005
 
Hesam S, Nazemi A, Haghbin A (2012). Reduced differential transform method for solving the Fornberg-Whithman type equation. Int. J. Nonlin. Sci. 13(2):158-162.
 
Joseph DD, Saut TC (1990). Short-wave instabilities and ill-posed initial-value problems. Theor. Comput. Fluid Dyn. 1:191-227.
http://dx.doi.org/10.1007/BF00418002
 
Keskin Y (2010). PhD thesis. Selcuk University Konya, Turkey (in Turkish).
 
Keskin Y, Oturanc G (2009). Reduced differential transform method for partial differential equations. Int. J. Nonlin. Sci. Numer. Simul. 10(6):741-749.
http://dx.doi.org/10.1515/IJNSNS.2009.10.6.741
 
Niethammer W (1977). On the numerical analytic continuation of power series. In: Constructive Theory of Functions of Several Variables (Schempp, W. and Zeller, K. eds.). LNM 571, Springer-Verlag Berlin, pp. 164-176.
 
Reichel L (1986). Numerical methods for analytic continuation and mesh generation. Constructive Approximation 2:23-39.
http://dx.doi.org/10.1007/BF01893415
 
Walter W (1985). An elementary proof of the Cauchy-Kawalevsky theorem. Am. Math. Mon. 92(2):115-126.
http://dx.doi.org/10.2307/2322639
 
Wendland WL (1979). Elliptic systems in the plane, Pitman London.
PMCid:PMC1704416
 
Zhou JK (1986). Differential transformation and its application for electric circuits, Huazhong University Press China (in Chinese)
PMCid:PMC341339