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The Emerging Solution for Partial Differential Problems

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Advances in Structural Engineering
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Abstract

In this paper, we present a technique for solving ordinary and partial differential equations (ODE and PDE) linear and nonlinear by an emerging method. The emerging method consists of decomposing a given differential equation into linear, nonlinear and remainder terms. The method has been applied quite extensively by mathematicians for various cases. However, engineering applications are not that many. While applying the method to a static plate and static problem we observed that the solution with emerging one very close to numerical and analytical solutions. An emerging method has been applied for linear equation plate problems to improve the simplicity, accuracy and convergence of above mentioned problems. The plate problems can easily be solved with help of emerging method, which is decomposition technique and semi-analytical method. The decomposition emerging method results are found to converge very quickly and are more close to exact solution.

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Ramana, P.V., Singh, V. (2015). The Emerging Solution for Partial Differential Problems. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_18

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  • DOI: https://doi.org/10.1007/978-81-322-2190-6_18

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2189-0

  • Online ISBN: 978-81-322-2190-6

  • eBook Packages: EngineeringEngineering (R0)

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