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Pure Mathematics

New approach of convergent numerical method for singularly perturbed delay parabolic convection-diffusion problems

Zerihun Ibrahim Hassena Department of Mathematics, Arba Minch University, Arba Minch, EthiopiaCorrespondence[email protected]

https://orcid.org/0000-0001-6731-4643 View further author information

&

Gemechis File Duressab Department of Mathematics, Jimma University, Jimma, Ethiopia

https://orcid.org/0000-0003-1889-4690 View further author information

|

Lishan Liuc Arba Minch University, EthiopiaView further author information

(Reviewing editor:)

Figures & data

Figure 1. Numerical solution of example 1, with .

Figure 1. Numerical solution of example 1, with .

Figure 2. Numerical solution of example 2, with .

Figure 2. Numerical solution of example 2, with .

Figure 3. Log-log plot of maximum point-wise error 3a for Example 1 and 3b for Example 2.

Figure 3. Log-log plot of maximum point-wise error 3a for Example 1 and 3b for Example 2.

Table 1. Example 1: Maximum point-wise error of the numerical solution

Table 2. Example 2: Maximum point-wise error of the numerical solution when N = M

Table 3. Maximum absolute error and rate of convergence of the scheme in temporal direction

Table 4. Comparison of uniform error and order of convergence for Example 1 at with Gowrisankar and Natesan (Citation2017)