Modelling and simulation of extraction of oligomer from granular polymers

Chen, Z.; Prüß, Jan; Meier, D.; Warnecke, Hans‐Joachim

doi:10.1016/s1385-8947(97)00079-x

Cited by 2 publications

(1 citation statement)

References 6 publications

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“…Similarly, many practical problems in science and engineering are either extremely difficult or impossible to solve by conventional analytical methods. Therefore, numerical modelling and simulations play a more and more important role in handling these problems [1,3,5,8]. On the other hand, the advent of high-performance computers has also given tremendous impetus to all numerical methods for solving science and engineering problems [28,31].…”

Section: Introductionmentioning

confidence: 99%

Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel

Yang¹,

Xu²,

Zhang³

2011

International Journal of Computer Mathematics

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In this paper, we study the numerical solution of initial boundary-value problem for the fourth-order partial integro-differential equations with a weakly singular kernel. We use the forward Euler scheme for time discretization and the quasi-wavelet based numerical method for space discretization. Detailed discrete formulations are given to the treatment of three different boundary conditions, including clamped-type condition, simply supported-type condition and a transversely supported-type condition. Some numerical experiments are included to demonstrate the validity and applicability of the discrete technique. The comparisons of present results with analytical solutions show that the quasi-wavelet based numerical method has a distinctive local property. Especially, the method is easy to implement and produce very accurate results.

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