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 Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method Description An account of the resource The paper illustrates a numerical technique to solve a system of three partial differential equationsthat govern the problem of Rayleigh-Bard-Brinkman convection in a two-dimensional porous rectangular box. As a result of linear and weakly nonlinear stability analyses of the system a boundary eigenvalue problem (BEVP) and an initial boundary value problem (IBVP) arise. Spatial information on the periodicity of the convection cells is first used in the system of PDEs to make it possible for the successive linearization method (SLM) to be applied. The resulting much-simplified versions of BEVP and the IVP are then solved by direct and time multi-stepping versions of SLM, respectively. The SLM solution of the BEVP is compared with that obtained through MATLAB routine bvp4c and the multi-stepping-SLM solution of the IVP is validated with that of the Runge-Kutta-Fehlberg (RKF45) method (using MATLAB routine ode45). The present numerical technique is found to have quadratic convergence for any desiredaccuracy. 2023 Wiley-VCH GmbH. Creator An entity primarily responsible for making the resource Narayana M.; Siddheshwar P.G. Source A related resource from which the described resource is derived ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol-103, No. 12 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 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1002/zamm.202200472" target="_blank" rel="noreferrer noopener">https://doi.org/10.1002/zamm.202200472</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165435748&amp;doi=10.1002%2Fzamm.202200472&amp;partnerID=40&amp;md5=0bef6bd24d24846fbb6ef4963e3ec479" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165435748&amp;doi=10.1002%2fzamm.202200472&amp;partnerID=40&amp;md5=0bef6bd24d24846fbb6ef4963e3ec479</a> Rights Information about rights held in and over the resource All Open Access; Bronze Open 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, Kingston, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India