Using adomian’s decomposition and multiquadric quasi-interpolation methods for solving Newell–Whitehead equation | Zendy

R. Ezzati | Zendy; K. Shakibi | Zendy

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Using adomian’s decomposition and multiquadric quasi-interpolation methods for solving Newell–Whitehead equation

Author(s) -

R. Ezzati,

K. Shakibi

Publication year - 2011

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2010.12.171

Subject(s) - adomian decomposition method , interpolation (computer graphics) , envelope (radar) , mathematics , nonlinear system , decomposition method (queueing theory) , computer science , decomposition , linear interpolation , space (punctuation) , mathematical analysis , partial differential equation , artificial intelligence , discrete mathematics , telecommunications , physics , motion (physics) , radar , ecology , quantum mechanics , polynomial , biology , operating system

In this paper, we study numerical solution of the Newell–Whitehead equation (NWE) by using Adomian’s method (ADM) and Multiquadric quasi-interpolation method. ADM has been extensively used to solve linear and nonlinear problems arising many interesting physical and engineering applications. NWE is derived to describe the envelope of modulated roll-solution in systems with two large extended or unbounded space directions. We will show the results with an example

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