scholarly journals Third order singularly perturbed delay differential equation of reaction diffusion type with integral boundary condition

2019 ◽  
Vol 18 (2) ◽  
pp. 99-110
Author(s):  
Elango Sekar ◽  
Ayyadurai Tamilselvan
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Delay Differential Equation ◽  
Reaction Diffusion ◽  
Singularly Perturbed ◽  
Integral Boundary Condition ◽  
Third Order ◽  
Diffusion Type ◽  
Integral Boundary ◽  
Delay Differential

scholarly journals Quintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation

2019 ◽  
Vol 4 (6) ◽  
pp. 1471-1482
Author(s):  
Mandeep Kaur Vaid ◽  
Geeta Arora
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Singularly Perturbed ◽  
Uniform Mesh ◽  
Numerical Treatment ◽  
Spline Collocation ◽  
Third Order ◽  
B Spline ◽  
Collocation Technique ◽  
Delay Differential

In this paper, a class of third order singularly perturbed delay differential equation with large delay is considered for numerical treatment. The considered equation has discontinuous convection-diffusion coefficient and source term. A quintic trigonometric B-spline collocation technique is used for numerical simulation of the considered singularly perturbed delay differential equation by dividing the domain into the uniform mesh. Further, uniform convergence of the solution is discussed by using the concept of Hall error estimation and the method is found to be of first-order convergent. The existence of the solution is also established. Computation work is carried out to validate the theoretical results.

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