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An exploration of quintic Hermite splines to solve Burgers’ equation

An innovative scheme of collocation having quintic Hermite splines as base functions has been followed to solve Burgers’ equation. The scheme relies on approximation of Burgers’ equation directly in non-linear form without using Hopf–Cole transformation (Hopf in Commun Pure Appl Math 3:201–216, 1950; Cole in Q Appl Math 9:225–236, 1951). The significance of the numerical...

An efficient scheme for numerical solution of Burgers’ equation using quintic Hermite interpolating polynomials

equations. This method is efficient due to its simplicity and easily programmable nature. For stability reasons, U 2 and U norms have been calculated. Acknowledgments Dr. Shelly Arora is thankful to the

Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions

Cubic Hermite collocation method is proposed to solve two point linear and nonlinear boundary value problems subject to Dirichlet, Neumann, and Robin conditions. Using several examples, it is shown that the scheme achieves the order of convergence as four, which is superior to various well known methods like finite difference method, finite volume method, orthogonal collocation...

Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions

Cubic Hermite collocation method is proposed to solve two point linear and nonlinear boundary value problems subject to Dirichlet, Neumann, and Robin conditions. Using several examples, it is shown that the scheme achieves the order of convergence as four, which is superior to various well known methods like finite difference method, finite volume method, orthogonal collocation...

Potential carriers of chemotherapeutic drugs: matrix based nanoparticulate polymeric systems

Dipti Kakkar Thukral Shweta Dumoga Shelly Arora Krishna Chuttani Anil K Mishra In this work matrix based nanoparticulate polymer systems have been designed using the diacrylate derivative of the

Potential carriers of chemotherapeutic drugs: matrix based nanoparticulate polymeric systems

In this work matrix based nanoparticulate polymer systems have been designed using the diacrylate derivative of the well-known biocompatible polymer, poly(ethylene glycol) (PEG). This has been crosslinked using bifunctional (ethyleneglycol dimethacrylate) and tetrafunctional (pentaerythritol tetraacrylate) crosslinkers in varied concentrations (10-90%) to result in a polymeric...