Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A New Series Solution Applicable to a Class of Boundary Layer Equations with Exponential Decay in Solution Subject The topic of the resource Exponential decay; FalknerSkan-type equation; Series solution; Shooting method; Stretching sheet Description An account of the resource A new series solution for the coupled nonlinear boundary value problem (BVP) of the FalknerSkan-type, resulting from the use of the boundary layer approximation to a mixed convective flow is obtained. The solution domain is transformed from the semi-infinite interval of physical interest to the unit interval by using the transformation z= 1 - e-?. The coupled nonlinear BVP is converted into an equivalent initial value problem (IVP) by supplying appropriate initial conditions. Series solution of the equivalent IVP is obtained in powers of 1 - e-? with assistance from the NewtonRaphson method. Convergence of the series is assured by the very design of the series as confirmed by the DombSykes plots and the plots of partial sums. The results of the series solution compare well with the numerical results obtained by the shooting method based on the RungeKuttaFehlberg45 and NewtonRaphson methods. The novelty of the methodology lies in the construction of a new series solution for a class of problems with exponential decay in their solution. Such a work has not been reported before. 2020, Springer Nature India Private Limited. Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Narayana M.; Bhatt B. Source A related resource from which the described resource is derived International Journal of Applied and Computational Mathematics, Vol-6, No. 4 Publisher An entity responsible for making the resource available Springer Date A point or period of time associated with an event in the lifecycle of the resource 2020-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40819-020-00875-6" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40819-020-00875-6</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088638588&amp;doi=10.1007%2Fs40819-020-00875-6&amp;partnerID=40&amp;md5=6733ceb4569e4907005847152288219d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088638588&amp;doi=10.1007%2fs40819-020-00875-6&amp;partnerID=40&amp;md5=6733ceb4569e4907005847152288219d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23495103 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Hosur Road, Bengaluru, 560029, India; Narayana M., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica; Bhatt B., Department of Mathematics and Statistics, The University of the West Indies, St. Augustine, Trinidad and Tobago