New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations RK Mohanty International Journal of Computer Mathematics 86 (12), 2061-2071, 2009 | 158 | 2009 |
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation RK Mohanty Applied Mathematics Letters 17 (1), 101-105, 2004 | 139 | 2004 |
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation RK Mohanty, MK Jain Numerical Methods for Partial Differential Equations: An International …, 2001 | 133 | 2001 |
An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions RK Mohanty, MK Jain, U Arora International Journal of Computer Mathematics 79 (1), 133-142, 2002 | 111 | 2002 |
On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients RK Mohanty, MK Jain, K George Journal of Computational and Applied Mathematics 72 (2), 421-431, 1996 | 110 | 1996 |
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients RK Mohanty Applied Mathematics and Computation 165 (1), 229-236, 2005 | 87 | 2005 |
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems RK Mohanty, S Singh Applied Mathematics and Computation 175 (2), 1400-1414, 2006 | 64 | 2006 |
A family of variable mesh methods for the estimates of (du/dr) and solution of non-linear two point boundary value problems with singularity RK Mohanty Journal of computational and applied mathematics 182 (1), 173-187, 2005 | 61 | 2005 |
A fourth order difference method for the one‐dimensional general quasilinear parabolic partial differential equation MK Jain, RK Jain, RK Mohanty Numerical Methods for Partial Differential Equations 6 (4), 311-319, 1990 | 59 | 1990 |
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems RK Mohanty, N Jha Applied Mathematics and Computation 168 (1), 704-716, 2005 | 55 | 2005 |
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions RK Mohanty Applied Mathematics and Computation 152 (3), 799-806, 2004 | 54 | 2004 |
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives RK Mohanty, U Arora Applied Mathematics and Computation 172 (1), 531-544, 2006 | 46 | 2006 |
An O (h4) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems RK Mohanty, PL Sachdev, N Jha Applied Mathematics and Computation 158 (3), 853-868, 2004 | 44 | 2004 |
Fourth order difference methods for the system of 2D nonlinear elliptic partial differential equations MK Jain, RK Jain, RK Mohanty Numerical Methods for Partial Differential Equations 7 (3), 227-244, 1991 | 44 | 1991 |
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations RK Mohanty, V Gopal Applied Mathematics and Computation 218 (8), 4234-4244, 2011 | 40 | 2011 |
A class of non-uniform mesh three point arithmetic average discretization for y ″= f (x, y, y′) and the estimates of y′ RK Mohanty Applied mathematics and computation 183 (1), 477-485, 2006 | 39 | 2006 |
Order h4 difference methods for a class of singular two space elliptic boundary value problems RK Mohanty Journal of computational and applied mathematics 81 (2), 229-247, 1997 | 39 | 1997 |
A fourth‐order difference method for elliptic equations with nonlinear first derivative terms MK Jain, RK Jain, RK Mohanty Numerical Methods for Partial Differential Equations 5 (2), 87-95, 1989 | 36 | 1989 |
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms RK Mohanty Applied Mathematics and Computation 190 (2), 1683-1690, 2007 | 35 | 2007 |
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems RK Mohanty, N Khosla International Journal of Computer Mathematics 82 (10), 1261-1273, 2005 | 35 | 2005 |