Citations (30)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (2)
Manoj Kumar & Akanksha Srivastava. (2013) An Elementary Introduction to Recently Developed Computational Methods for Solving Singularly Perturbed Partial Differential Equations Arising in Science and Engineering. International Journal for Computational Methods in Engineering Science and Mechanics 14:1, pages 45-60.
Read now
Read now
Zhongdi Cen. (2011) Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem. International Journal of Computer Mathematics 88:1, pages 196-206.
Read now
Read now
Articles from other publishers (28)
Pramod Chakravarthy Podila & Vishwas Sundrani. (2023) A non-uniform Haar wavelet method for a singularly perturbed convection–diffusion type problem with integral boundary condition on an exponentially graded mesh. Computational and Applied Mathematics 42:5.
Crossref
Crossref
Sanjay Ku Sahoo & Vikas Gupta. (2023) A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem. Computers & Mathematics with Applications 137, pages 126-146.
Crossref
Crossref
Gemechis File Duressa, Imiru Takele Daba & Chernet Tuge Deressa. (2023) A Systematic Review on the Solution Methodology of Singularly Perturbed Differential Difference Equations. Mathematics 11:5, pages 1108.
Crossref
Crossref
Pramod Chakravarthy Podila, Vishwas Sundrani & Higinio Ramos. (2022) Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets. Mathematical Methods in the Applied Sciences 45:17, pages 10904-10916.
Crossref
Crossref
K. Selvakumar. (2022) Two new optimal and uniform third-order schemes for singular perturbation problems with initial layers. Soft Computing 26:22, pages 12811-12832.
Crossref
Crossref
Archna Kumari, Shallu & V. K. Kukreja. (2022) Solution of Dual Boundary Layer Singular Perturbation Problem by Septic Hermite Collocation Technique. International Journal of Applied and Computational Mathematics 8:5.
Crossref
Crossref
Sheng Chen & Zhimin Zhang. (2022) An exponential convergence approximation to singularly perturbed problems by Log orthogonal functions. Calcolo 59:3.
Crossref
Crossref
Hayriye GUCKİR CAKİR, Firat CAKİR & Musa ÇAKIR. (2022) A numerical method on Bakhvalov-Shishkin mesh for Volterra integro-differential equations with a boundary layer. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 71:1, pages 51-67.
Crossref
Crossref
Dovlet DOVLETOV. (2021) A UNIFORMLY STABLE SOLVABILITY OF NLBVP FOR PARAMETERIZED ODE. Proceedings of International Mathematical Sciences 3:2, pages 50-69.
Crossref
Crossref
Musa Cakir & Gabil M. Amiraliyev. (2021) A second order numerical method for singularly perturbed problem with non-local boundary condition. Journal of Applied Mathematics and Computing 67:1-2, pages 919-936.
Crossref
Crossref
Shallu, Archna Kumari & Vijay Kumar Kukreja. (2021) An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions. Mediterranean Journal of Mathematics 18:4.
Crossref
Crossref
Habtamu Garoma Debela. (2021) Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition. Abstract and Applied Analysis 2021, pages 1-9.
Crossref
Crossref
Nguyen Thi Hoai. (2021) Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable. Numerical Algebra, Control & Optimization 11:4, pages 495.
Crossref
Crossref
Musa Cakir, Erkan Cimen & Gabil M. Amiraliyev. (2020) The difference schemes for solving singularly perturbed three-point boundary value problem. Lithuanian Mathematical Journal 60:2, pages 147-160.
Crossref
Crossref
Jian Huang, Zhongdi Cen, Aimin Xu & Li-Bin Liu. (2019) A posteriori error estimation for a singularly perturbed Volterra integro-differential equation. Numerical Algorithms 83:2, pages 549-563.
Crossref
Crossref
A. J. Chamkha, A. M. Rashad, E. R. EL-Zahar & Hamed A. EL-Mky. (2019) Analytical and Numerical Investigation of Fe3O4–Water Nanofluid Flow over a Moveable Plane in a Parallel Stream with High Suction. Energies 12:1, pages 198.
Crossref
Crossref
Ram Kishun Lodhi & Hradyesh Kumar Mishra. (2018) Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems. Ain Shams Engineering Journal 9:4, pages 2153-2161.
Crossref
Crossref
Ozlem Ersoy Hepson & İdris Dağ. A cubic subdomain Galerkin method over the geometrically graded mesh to the singularly perturbed problem. A cubic subdomain Galerkin method over the geometrically graded mesh to the singularly perturbed problem.
Zhongdi Cen, Aimin Xu & Anbo Le. (2015) On the hybrid finite difference scheme for a singularly perturbed Riccati equation. Numerical Algorithms 71:2, pages 417-436.
Crossref
Crossref
Essam R. El-Zahar. (2016) Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term. International Journal of Differential Equations 2016, pages 1-12.
Crossref
Crossref
Fazhan Geng, Suping Qian & Shuai Li. (2014) Numerical solutions of singularly perturbed convection-diffusion problems. International Journal of Numerical Methods for Heat & Fluid Flow 24:6, pages 1268-1274.
Crossref
Crossref
Essam R. El-Zahar. (2013) Approximate analytical solutions of singularly perturbed fourth order boundary value problems using differential transform method. Journal of King Saud University - Science 25:3, pages 257-265.
Crossref
Crossref
Fazhan Geng. (2011) A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method. Applied Mathematics and Computation 218:8, pages 4211-4215.
Crossref
Crossref
Manoj Kumar & Parul. (2011) Methods for solving singular perturbation problems arising in science and engineering. Mathematical and Computer Modelling 54:1-2, pages 556-575.
Crossref
Crossref
Manoj Kumar & Parul. (2011) A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems. International Journal of Differential Equations 2011, pages 1-32.
Crossref
Crossref
Zhongdi Cen, Aimin Xu & Anbo Le. (2010) A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems. Journal of Computational and Applied Mathematics 234:12, pages 3445-3457.
Crossref
Crossref
V. DenoëlE. Detournay. (2010) Multiple Scales Solution for a Beam with a Small Bending Stiffness. Journal of Engineering Mechanics 136:1, pages 69-77.
Crossref
Crossref
Manoj Kumar, Hradyesh Kumar Mishra & Peetam Singh. (2009) A boundary value approach for a class of linear singularly perturbed boundary value problems. Advances in Engineering Software 40:4, pages 298-304.
Crossref
Crossref