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 On the differential transform method of solving boundary eigenvalue problems: An illustration Subject The topic of the resource boundary eigenvalue problem; DarcyBrinkman convection; differential transform method; general boundary conditions; porous medium Description An account of the resource The differential transform method (DTM) is a simple technique based on the Taylor series. Applying the DTM, a given linear boundary eigenvalue problem (BEVP) involving ordinary differential equations is converted into a recurrence relation or a system of recurrence relations for the Taylor coefficients. This ultimately leads to the solution of the problem in the form of an infinite power series with an appropriate region of convergence. The present paper aims to apply the DTM in solving a BEVP arising from the DarcyBrinkman convection in a rectangular box subject to general boundary conditions whose vertical sidewalls are assumed to be impermeable and adiabatic. The non-dimensional temperature difference between the plates represented by the DarcyRayleigh number, the eigenvalue of the problem, is obtained as a function of the width of the Bard cell ((Formula presented.) : b is the horizontal wave number) and other parameters using the DTM. The work includes investigation on the convergence of the series solution. The solution by the DTM is compared with that obtained by the MATLAB bvp4c routine and excellent agreement is found thereby establishing the accuracy of theDTM. 2020 Wiley-VCH GmbH Creator An entity primarily responsible for making the resource Narayana M.; Shekar M.; Siddheshwar P.G.; Anuraj N.V. Source A related resource from which the described resource is derived ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol-101, No. 5 Publisher An entity responsible for making the resource available John Wiley and Sons Inc Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1002/zamm.202000114" target="_blank" rel="noreferrer noopener">https://doi.org/10.1002/zamm.202000114</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097429711&amp;doi=10.1002%2Fzamm.202000114&amp;partnerID=40&amp;md5=a62ced86e14b1279f43d6564b1962caa" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097429711&amp;doi=10.1002%2fzamm.202000114&amp;partnerID=40&amp;md5=a62ced86e14b1279f43d6564b1962caa</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 442267 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 Narayana M., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, St. Andrew, Jamaica; Shekar M., Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Bengaluru, 560058, Karnataka, India; Siddheshwar P.G., Department of Mathematics, CHRIST(Deemed to be University), Hosur Road, Bengaluru, 560029, Karnataka, India; Anuraj N.V., Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Bengaluru, 560058, Karnataka, India