A Numerical Method for Solving Boundary and Interior Layers Dominated Parabolic Problems with Discontinuous Convection Coefficient and Source Terms
By M. Chandru, T. Prabha, Pratibhamoy Das, Vembu Shanthi. 2019
99 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/d0f9d21c267036fad3786e676be0a99e574a7d28
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computational Theory and Mathematics
In Numerical Analysis
Citations in the corpus
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data (2018, unknown): “When αμ2 ≤ γε, the singular components wl(x, t) and wr(x, t) of (18) to (19) satisfy the following bounds |wl(x, t)|Γ−∪Γ+ ≤ C { e−θ2x, (x, t) ∈ Γ−, e−θ1(x−d), (x, t) ∈ Γ+, |wr(x, t)|Γ−∪Γ+ ≤ C { e−θ1(d−x), (x, t) ∈ Γ−, e−θ2(1−x), (x, t) ∈ Γ+, where”
- Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis (2021, background): “Obtaining n(x), n ≥ 1, by using recurrence relation (28) is equivalent to obtain n(x) by using the iterative scheme n+1 = (u0 + n), n ≥ 0, 0 = 0.”
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems (2021, methodology): “…a priori meshes play important roles on the error estimates and convergence of the numerical solutions for SPPs; see, for example, Das and Natesan,18 Chandru et al.19,20 and Govindarao et al.21 Uniformly convergent numerical methods for the SPPs with delay and advance terms can be also observed in…”
- A higher order difference method for singularly perturbed parabolic partial differential equations (2018, background): “The adaptive meshes [4,30] are also constructed for uniformly convergent solution, out of which piecewise uniform meshes are frequently chosen for higher order convergent solutions.”