ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)||6|
|Published online||03 December 2020|
Comments on the use of block methods for solving singular boundary value problems
Departamento de Matemática Aplicada, Universidad de Salamanca Casas del Parque sn., 37008 Salamanca (Spain).
2 Escuela Politécnica Superior de Zamora Avda. Requejo, 33, 49022 Zamora (Spain).
3 Scientiﬁc Computing Group, Universidad de Salamanca, Facultad de Ciencias 37008 Salamanca (Spain).
* e-mail: email@example.com
Singular boundary-value problems appear frequently on the modellization of many physical phenomena as in catalytic diﬀusion reactions, chemical kinetics, thermal-explosion theory, or electro hydrodynamics, among others. The singular Lane-Endem equation is a typical kind of equation modelling some of those problems. Unfortunately, just in few occasions the exact solutions can be obtained. In this situation the block methods have been used largely for approximating diﬀerent kind of diﬀerential problems. We propose its use for solving singular boundary value problems. The proposed strategy consist in a block method combined with an appropriate set of formulas which are developed at the ﬁrst subinterval to circumvent the singularity at the left end of the integration interval. Some examples are presented to validate the eﬃciency of the proposed strategy.
© The Authors, published by EDP Sciences, 2020
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