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A Numerical Method for a Problem Occurring in Conduction of Heat Through a Solid and Other Applications

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Computational and Experimental Methods in Mechanical Engineering

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 239))

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Abstract

A singular boundary value problem arises in the conduction of heat through a solid and having other important applications is solved using a novel spline method. The removal of the singularity is done before applying a cubic B-spline and then a B-spline with a free parameter. The numerical examples show that the results have a very close agreement with exact solutions.

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Gupta, S., Sharma, S. (2022). A Numerical Method for a Problem Occurring in Conduction of Heat Through a Solid and Other Applications. In: Rao, V.V., Kumaraswamy, A., Kalra, S., Saxena, A. (eds) Computational and Experimental Methods in Mechanical Engineering. Smart Innovation, Systems and Technologies, vol 239. Springer, Singapore. https://doi.org/10.1007/978-981-16-2857-3_21

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  • DOI: https://doi.org/10.1007/978-981-16-2857-3_21

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-2856-6

  • Online ISBN: 978-981-16-2857-3

  • eBook Packages: EngineeringEngineering (R0)

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