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Purpose – The purpose of this paper is to use the polynomial differential quadrature method (PDQM) to find the numerical solutions of some Burgers’-type nonlinear partial differential equations. Design/methodology/approach – The PDQM changed the nonlinear partial differential equations into a system of nonlinear ordinary differential equations (ODEs). The(More)
In this article, we proposed a numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of one dimensional hyperbolic telegraph equation. The hyperbolic partial differential equations model the vibrations of structures (e.g., buildings, beams, and machines) and they are the basis for fundamental equations(More)
In this paper, an efficient numerical scheme based on uniform Haar wavelets and the quasilinearization process is proposed for the numerical simulation of time dependent nonlinear Burgers’ equation. The equation has great importance in many physical problems such as fluid dynamics, turbulence, sound waves in a viscous medium etc. The Haar wavelet basis(More)
0096-3003/$ see front matter 2012 Elsevier Inc doi:10.1016/j.amc.2012.01.006 ⇑ Corresponding author. E-mail address: ram1maths@gmail.com (R. Jiwar In this article, we proposed a numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic telegraph equation with Dirichlet and(More)