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Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
This erratum corrects the original online version which can be found here:
https://doi.org/10.1515/gmj-2021-2130
-
Musa Cakir
Published/Copyright:
December 6, 2022
Keywords: Difference scheme; error estimate; Fredholm integro-differential equation; singular perturbation; uniform mesh; Volterra integro-differential equation
In our paper [2], on page 197, after equalities (3.2)–(3.4) and on page 200, at the end of the proof of Lemma 4.3, third reference to [1] must be added.
References
[1] G. M. Amiraliyev, M. E. Durmaz and M. Kudu, Uniform convergence results for singularly perturbed Fredholm integro-differential equation, J. Math. Anal. 9 (2018), no. 6, 55–64. Search in Google Scholar
[2] M. Cakir and B. Gunes, Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations, Georgian Math. J. 29 (2022), no. 2, 193–203 10.1515/gmj-2021-2130Search in Google Scholar
Received: 2022-11-30
Accepted: 2022-11-30
Published Online: 2022-12-06
Published in Print: 2023-02-01
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On the well-posedness of nonlocal boundary value problems for a class of systems of linear generalized differential equations with singularities
- Products of Toeplitz operators with angular symbols
- Characterization of Lie-type higher derivations of triangular rings
- On classifying map of the integral Krichever–Hoehn formal group law
- Demicompactness perturbation in Banach algebras and some stability results
- On bicomplex 𝔹ℂ-modules lp 𝕜(𝔹ℂ) and some of their geometric properties
- On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces
- Asymptotic behaviors of solutions of a class of time-varying differential equations
- Fekete–Szegő problem of strongly α-close-to-convex functions associated with generalized fractional operator
- Some properties of Vitali sets
- Optimal conditions of solvability of periodic problem for systems of differential equations with argument deviation
- Generalized derivations with Engel condition on Lie ideals of prime rings
- Attractivity of implicit differential equations with composite fractional derivative
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
Keywords for this article
Difference scheme;
error estimate;
Fredholm integro-differential equation;
singular perturbation;
uniform mesh;
Volterra integro-differential equation
Articles in the same Issue
- Frontmatter
- On the well-posedness of nonlocal boundary value problems for a class of systems of linear generalized differential equations with singularities
- Products of Toeplitz operators with angular symbols
- Characterization of Lie-type higher derivations of triangular rings
- On classifying map of the integral Krichever–Hoehn formal group law
- Demicompactness perturbation in Banach algebras and some stability results
- On bicomplex 𝔹ℂ-modules lp 𝕜(𝔹ℂ) and some of their geometric properties
- On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces
- Asymptotic behaviors of solutions of a class of time-varying differential equations
- Fekete–Szegő problem of strongly α-close-to-convex functions associated with generalized fractional operator
- Some properties of Vitali sets
- Optimal conditions of solvability of periodic problem for systems of differential equations with argument deviation
- Generalized derivations with Engel condition on Lie ideals of prime rings
- Attractivity of implicit differential equations with composite fractional derivative
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
