DOAJ Open Access 2025

Exponentially fitted finite difference methods for a singularly perturbed nonlinear differential-difference equation with a small negative shift

T. Prathap R. Nageshwar Rao

Abstrak

This study presents exponentially fitted finite difference methods for solving a singularly perturbed nonlinear differential-difference equation that consists of a small negative shift. The quasilinearization technique is applied to the nonlinear problem and a sequence of linear problems is obtained. The resulting linear problems are treated with exponentially fitted finite difference methods of higher order. The methods developed in this paper are studied for stability and convergence. Numerical results using the proposed methods are presented for two test problems and hence the efficiency of the methods is demonstrated.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

T. Prathap

R. Nageshwar Rao

Format Sitasi

APA MLA BibTeX

Prathap, T., Rao, R.N. (2025). Exponentially fitted finite difference methods for a singularly perturbed nonlinear differential-difference equation with a small negative shift. https://doi.org/10.31489/2025m2/189-207

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m2/189-207
Akses: Open Access ✓