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Abbas Saadatmandi

Abbas Saadatmandi

Professor

College: Faculty of Mathematics

Department: Applied Mathematics

Degree: Ph.D

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Abbas Saadatmandi

Professor Abbas Saadatmandi

College: Faculty of Mathematics - Department: Applied Mathematics Degree: Ph.D |

A Bernoulli-reproducing kernel method for a class of nonlinear singular boundary value problems

Authorsاعظم قاسمی نصرابادی,عباس سعادتمندی
JournalJournal of Applied Analysis and Computation
Page number3260
Volume number14
IFثبت نشده
Paper TypeFull Paper
Published At2024-12-01
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexSCOPUS ,JCR

Abstract

We have developed a highly accurate numerical method called Bernoulli-RKM to solve nonlinear singular boundary value problems (SBVPs). This approach uses Bernoulli polynomials and the traditional reproducing kernel method (RKM) and applies the quasi-linearization method to linearize the SBVPs. We have discussed the error and convergence of Bernoulli-RKM and provided numerical examples to demonstrate its potential in solving nonlinear SBVPs. Additionally, we have compared our results with those in existing literature.