caa a22 4500 606217231 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10598-015-9296-8 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9296-8 A Ninth-Order Convergent Method for Solving the Steady State Reaction-Diffusion Model [Elektronische Daten] [Akanksha Srivastava, Manoj Kumar, Todor Todorov] The paper deals with a steady state version of a nonlocal nonlinear parabolic problem defined on a bounded polygonal domain. The nonlocal term involved in the strong formulation essentially increases the complexity of the problem and the necessary total computational work. The nonlinear weak formulation of the problem is reduced to a linear one suitable for applications of Newtonian type iterative methods. A discrete problem is obtained by the FEM. A fast and stable iterative method with ninth-order of convergence is applied for solving the discrete problem. The iterative algorithm is described by a pseudo-code. The method is computer implemented and the approximate solutions are presented graphically. Springer Science+Business Media New York, 2015 steady state reaction-diffusion model nationallicence inhomogeneous strong Allee effect nationallicence nonlocal problem nationallicence iterative methods nationallicence finite element approximations nationallicence Srivastava Akanksha Department of Mathematics, Motilal Nehru National Institute of Technology, -211004(U.P.), Allahabad, India aut Kumar Manoj Department of Mathematics, Motilal Nehru National Institute of Technology, -211004(U.P.), Allahabad, India aut Todorov Todor Department of Mathematics, Technical University, 5300, Gabrovo, Bulgaria aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 593-603 1046-283X 26:4<593 2015 26 10598 https://doi.org/10.1007/s10598-015-9296-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9296-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Srivastava Akanksha Department of Mathematics, Motilal Nehru National Institute of Technology, -211004(U.P.), Allahabad, India aut NATIONALLICENCE 700 1- Kumar Manoj Department of Mathematics, Motilal Nehru National Institute of Technology, -211004(U.P.), Allahabad, India aut NATIONALLICENCE 700 1- Todorov Todor Department of Mathematics, Technical University, 5300, Gabrovo, Bulgaria aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 593-603 1046-283X 26:4<593 2015 26 10598