Article citationsMore>>

Mittal, R.C. and Jain, R.K. (2011) B-Splines Methods with Redefined Basis Functions for Solving Fourth Order Parabolic Partial Differential Equations. Applied Mathematics and Computation, 217, 9741-9755.
http://dx.doi.org/10.1016/j.amc.2011.04.061

has been cited by the following article:

• TITLE: Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

  AUTHORS: Mohamed El-Gamel, W. El-bashbashy, Atallah El-Shenawy

  KEYWORDS: B-Spline; Time-Dependent; Numerical Solutions; Emden-Fowler Type

  JOURNAL NAME: Applied Mathematics, Vol.5 No.4, March 10, 2014

  ABSTRACT: A numerical method based on B-spline is developed to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at x = 0. The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.