A New Numerical Method for Solving the Heat Conduction Equation in One Dimensional Nanometer Materials

Jia Chun Liu; Pei Chen Wang

doi:10.4028/www.scientific.net/AMR.602-604.223

Paper Titles

Effect of Mechanical Stresses on Metastability of Heterophase Superparamagnetic Nanoparticles
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Preparation, Characterization of N-Ti-MCM-22 Molecular Sieve and its Photocatalytic Properties
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Ultrasound-Assisted Solution Synthesis and Characterization of Sea Urchin-Like ZnO Hierarchical Microstructures
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Applications of Nanostructured Materials as Additives in Space Fluid Lubricants
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A New Numerical Method for Solving the Heat Conduction Equation in One Dimensional Nanometer Materials
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Controllable Synthesis of Spheroid Hydroxyapatite Nanoparticles by Rverse Microemulsion Method
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Preparation and In Vitro Drug Release Studies of Arginine Loaded Starch Microspheres
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Effect of Lithium-Doped on the Crystal Structure and Morphology of ZnO Nanorod Arrays
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Electrochemical Behaviours of Scutellarin at Multi-Wall Carbon Nanotubes Modified Glassy Carbon Electrode
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 602-604A New Numerical Method for Solving the Heat...

A New Numerical Method for Solving the Heat Conduction Equation in One Dimensional Nanometer Materials

Abstract:

In order to obtain the numerical solution of the heat conduction equation in one dimensional nanometer materials, we discrete the demand equation by Galerkin-Legendre spectral method and obtain a system of order ordinary differential equations, then we solve this system by using a ﬁfth order ﬁve stage A-stable new diagonally implicit Runge-Kutta method. Numerical results are presented to demonstrate the accuracy and efficiency of this method.