| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2023-0508 |
| A Bernoulli-reproducing kernel method for a class of nonlinear singular boundary value problems |
| Abbas Saadatmandi,Azam Ghasemi |
| Keywords:Singular, boundary value problems, reproducing kernel method, Bernoulli polynomials, quasi-linearization method |
| 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. |
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