An efficient approximation technique applied to a non-linear Lane–Emden pantograph delay differential model

Mohammad Izadi and H.M. Srivastava

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: The primary focus of our work is to propose a computationally effective approximation algorithm to find the numerical solution of the so-called a new design of second-order Lane–Emden pantograph delayed problem with singularity and non-linearity. Our approach based upon the novel Bessel matrix representation together with the collocation points which transforms the newly designed model problem into a non-linear fundamental matrix equation. To testify the validity and applicability of the proposed method, three test examples with non-linearity are given. The computational results are accurate as compared with the exact solutions as well as with those of numerical values reported in the literature.

Keywords: Bessel functions; Collocation method; Delay differential equation; Lane–Emden equation; Pantograph differential equation; Singular initial-value problems (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001715

DOI: 10.1016/j.amc.2021.126123

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