Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method

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dc.contributor.author Srivastava, Akanksha
dc.date.accessioned 2017-07-26T12:12:26Z
dc.date.available 2017-07-26T12:12:26Z
dc.date.issued 2017-07
dc.identifier.citation Srivastava, Akanksha, “Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method”, Computational Mathematics and Modeling, DOI: 10.1007/s10598-017-9374-1, vol. 28, no. 3, pp. 431-447, Jul. 2017. en_US
dc.identifier.issn 1046-283X
dc.identifier.issn 1573-837X
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/3049
dc.identifier.uri http://dx.doi.org/10.1007/s10598-017-9374-1
dc.description.abstract This article deals with the study of sign-changing solutions of the nonlinear singularly perturbed reaction-diffusion equation. Sign changing solutions of the nonlinear problem do not appear to have been previously studied in detail computationally, and it is hoped that this paper will help to provide a new idea in this direction. A variant of Newton’s method having tenth order of convergence has been established to linearize the nonlinear system of equations. Examples of the nonlinear problem having nonlinearities in homogeneous/nonhomogeneous form are considered to show the existence of solutions. en_US
dc.description.statementofresponsibility by Akanksha Srivastava
dc.format.extent Vol. 28, no. 3, pp. 431-447
dc.language.iso en_US en_US
dc.publisher Springer en_US
dc.subject Reaction-diffusion equation en_US
dc.subject Singular perturbation en_US
dc.subject Nonlinear elliptic boundary value problem en_US
dc.subject Newton’s method en_US
dc.subject Finite element method en_US
dc.title Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method en_US
dc.type Article en_US
dc.relation.journal Computational Mathematics and Modeling


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