• Happy Kumar

The comprehensive numerical study has been made here for the solution of Partial differential Equations by using Hermite collocation method with Hermite basis function. In the numerical implementation, approximation solution and its space derivatives over the interval are approximated by the combination of the cubic Hermite interpolating polynomials and parameters. The accuracy, efficiently, simplicity, stability and reliability of HCM performs are demonstrated through some numerical examples. The results have been presented in tabular and graphical forms

Cubic Hermite Polynomials, collocation Points

"CONVERGENCE AND STABILITY ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS VIA COLLOCATION TECHNIQUES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 7, page no.300-309, July-2018, Available :http://www.jetir.org/papers/JETIR1807A46.pdf

"CONVERGENCE AND STABILITY ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS VIA COLLOCATION TECHNIQUES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 7, page no. pp300-309, July-2018, Available at : http://www.jetir.org/papers/JETIR1807A46.pdf