Kailash C. Patidar

Publication Activity (10 Years)

Years Active: 2001-2022
Publications (10 Years): 6

Top Topics

Finite Difference Method

Mathematical Model

Top Venues

Appl. Math. Comput.

Math. Comput. Simul.

Commun. Nonlinear Sci. Numer. Simul.

J. Optim. Theory Appl.

Publications

Charles K. Mbayi, Justin B. Munyakazi, Kailash C. Patidar
Layer resolving fitted mesh method for parabolic convection-diffusion problems with a variable diffusion. J. Appl. Math. Comput. 68 (2) (2022)
Elias M. Adamu, Kailash C. Patidar, Andriamihaja Ramanantoanina
An unconditionally stable nonstandard finite difference method to solve a mathematical model describing Visceral Leishmaniasis. Math. Comput. Simul. 187 (2021)
Woinshet D. Mergia, Kailash C. Patidar
High-order semi-implicit linear multistep LG scheme for a three species competition-diffusion system in two-dimensional spatial domain arising in ecology. Commun. Nonlinear Sci. Numer. Simul. 84 (2020)
Justin B. Munyakazi, Kailash C. Patidar, Mbani T. Sayi
A robust fitted operator finite difference method for singularly perturbed problems whose solution has an interior layer. Math. Comput. Simul. 160 (2019)
Woinshet D. Mergia, Kailash C. Patidar
Fractional-step θ-method for solving singularly perturbed problem in ecology. Adv. Comput. Math. 44 (3) (2018)
Eihab B. M. Bashier, Kailash C. Patidar
Optimal control of an epidemiological model with multiple time delays. Appl. Math. Comput. 292 (2017)
Edson Pindza, Kailash C. Patidar, Edgard Ngounda
Rational Spectral Collocation Method for Pricing American Vanilla and Butterfly Spread Options. FDM (2014)
Kolade M. Owolabi, Kailash C. Patidar
Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology. Appl. Math. Comput. 240 (2014)
Edson Ngounda, Kailash C. Patidar, Edgard Pindza
A Robust Spectral Method for Solving Heston's Model. J. Optim. Theory Appl. 161 (1) (2014)
Hasim A. Obaid, Rachid Ouifki, Kailash C. Patidar
An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection. Int. J. Appl. Math. Comput. Sci. 23 (2) (2013)
Kapil K. Sharma, Pratima Rai, Kailash C. Patidar
A review on singularly perturbed differential equations with turning points and interior layers. Appl. Math. Comput. 219 (22) (2013)
Edgard Ngounda, Kailash C. Patidar, Edson Pindza
Contour integral method for European options with jumps. Commun. Nonlinear Sci. Numer. Simul. 18 (3) (2013)
Walter Mudzimbabwe, Kailash C. Patidar, Peter J. Witbooi
A reliable numerical method to price arithmetic Asian options. Appl. Math. Comput. 218 (22) (2012)
Moses A. Akanbi, Kailash C. Patidar
Application of Geometric Explicit Runge-Kutta Methods to Pharmacokinetic Models. MS (2012)
Ibrahim H. I. Ahmed, Peter J. Witbooi, Kailash C. Patidar
Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations. J. Appl. Math. 2012 (2012)
Eihab B. M. Bashier, Kailash C. Patidar
A fitted numerical method for a system of partial delay differential equations. Comput. Math. Appl. 61 (6) (2011)
Eihab B. M. Bashier, Kailash C. Patidar
A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation. Appl. Math. Comput. 217 (9) (2011)
Mohan K. Kadalbajoo, Kailash C. Patidar
Variable mesh spline approximation method for solving singularly perturbed turning point problems having interior layer. Neural Parallel Sci. Comput. 18 (2) (2010)
Kailash C. Patidar
A new class of fitted mesh finite element method for convection-diffusion-reaction problems. Neural Parallel Sci. Comput. 18 (2) (2010)
Justin B. Munyakazi, Kailash C. Patidar
Higher order numerical methods for singularly perturbed elliptic problems. Neural Parallel Sci. Comput. 18 (1) (2010)
Eihab B. M. Bashier, Kailash C. Patidar
An almost second order fitted mesh numerical method for a singularly perturbed delay parabolic partial differential equation. Neural Parallel Sci. Comput. 18 (2) (2010)
Jean M.-S. Lubuma, Kailash C. Patidar
Towards the implementation of the singular function method for singular perturbation problems. Appl. Math. Comput. 209 (1) (2009)
Shirley Abelman, Kailash C. Patidar
Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations. Comput. Math. Appl. 55 (4) (2008)
Justin B. Munyakazi, Kailash C. Patidar
On Richardson extrapolation for fitted operator finite difference methods. Appl. Math. Comput. 201 (1-2) (2008)
Kailash C. Patidar
High order parameter uniform numerical method for singular perturbation problems. Appl. Math. Comput. 188 (1) (2007)
Jean M.-S. Lubuma, Kailash C. Patidar
Non-standard methods for singularly perturbed problems possessing oscillatory/layer solutions. Appl. Math. Comput. 187 (2) (2007)
Kailash C. Patidar, Kapil K. Sharma
ε-Uniformly convergent non-standard finite difference methods for singularly perturbed differential difference equations with small delay. Appl. Math. Comput. 175 (1) (2006)
Mohan K. Kadalbajoo, Kailash C. Patidar, Kapil K. Sharma
epsilon-Uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general DDEs. Appl. Math. Comput. 182 (1) (2006)
Mohan K. Kadalbajoo, Kailash C. Patidar
epsilon-Uniformly convergent fitted mesh finite difference methods for general singular perturbation problems. Appl. Math. Comput. 179 (1) (2006)
Kailash C. Patidar
Dispersion induced by the pollution for the wave equation. Appl. Math. Comput. 160 (2) (2005)
Kailash C. Patidar
High order fitted operator numerical method for self-adjoint singular perturbation problems. Appl. Math. Comput. 171 (1) (2005)
Kailash C. Patidar
Pollution free discretization of the wave equation. Int. J. Comput. Math. 81 (4) (2004)
Mohan K. Kadalbajoo, Kailash C. Patidar
Singularly perturbed problems in partial differential equations: a survey. Appl. Math. Comput. 134 (2-3) (2003)
Mohan K. Kadalbajoo, Kailash C. Patidar
Variable Mesh Spline in Compression for the Numerical Solution of Singular Perturbation Problems. Int. J. Comput. Math. 80 (1) (2003)
Mohan K. Kadalbajoo, Kailash C. Patidar
Tension Spline for the Solution of Self-adjoint Singular Perturbation Problems. Int. J. Comput. Math. 79 (7) (2002)
Mohan K. Kadalbajoo, Kailash C. Patidar
Numerical solution of singularly perturbed two-point boundary value problems by spline in tension. Appl. Math. Comput. 131 (2-3) (2002)
Mohan K. Kadalbajoo, Kailash C. Patidar
Numerical Solution of Singularly Perturbed Non-Linear Two Point Boundary Value Problems by Spline in Compression. Int. J. Comput. Math. 79 (2) (2002)
Mohan K. Kadalbajoo, Kailash C. Patidar
A survey of numerical techniques for solving singularly perturbed ordinary differential equations. Appl. Math. Comput. 130 (2-3) (2002)
Mohan K. Kadalbajoo, Kailash C. Patidar
Numerical solution of singularly perturbed two point boundary value problems by spline in compression. Int. J. Comput. Math. 77 (2) (2001)