Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation

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dc.contributor.authorSatyanarayana, E.
dc.contributor.authorMohd, M.
dc.contributor.authorMurugan, V.
dc.date.accessioned2026-02-05T09:32:33Z
dc.date.issued2017
dc.description.abstractThis article deals with a forced Burgers equation (FBE) subject to the initial function, which is continuous and summable on R. Large time asymptotic behavior of solutions to the FBE is determined with precise error estimates. To achieve this, we construct solutions for the FBE with a different initial class of functions using the method of separation of variables and Cole–Hopf like transformation. These solutions are constructed in terms of Hermite polynomials with the help of similarity variables. The constructed solutions would help us to pick up an asymptotic approximation and to show that the magnitude of the difference function of the true and approximate solutions decays algebraically to 0 for large time. © 2016 Wiley Periodicals, Inc., A Wiley Company
dc.identifier.citationStudies in Applied Mathematics, 2017, 138, 2, pp. 185-204
dc.identifier.issn222526
dc.identifier.urihttps://doi.org/10.1111/sapm.12148
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25700
dc.subjectPartial differential equations
dc.subjectAsymptotic approximation
dc.subjectAsymptotic behavior of solutions
dc.subjectCole-Hopf like transformation
dc.subjectDifference functions
dc.subjectError estimates
dc.subjectForced Burgers equation
dc.subjectHermite's polynomials
dc.subjectInitial functions
dc.subjectLarge time asymptotics
dc.subjectMethod of separation of variables
dc.subjectPolynomials
dc.titleLarge Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation

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