 | 2009 |
|---|
| 31 |       | R. K. Mohanty:
A variable mesh C-SPLAGE method of accuracy O(k2hl-1 + khl + hl3) for 1D nonlinear parabolic equations.
Applied Mathematics and Computation 213(1): 79-91 (2009) |
| 2007 |
|---|
| 30 | | R. K. Mohanty:
An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations.
Applied Mathematics and Computation 186(1): 219-229 (2007) |
| 29 | | R. K. Mohanty:
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations.
Applied Mathematics and Computation 190(1): 321-331 (2007) |
| 28 | | R. K. Mohanty:
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms.
Applied Mathematics and Computation 190(2): 1683-1690 (2007) |
| 27 | | R. K. Mohanty:
Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity.
Int. J. Comput. Math. 84(11): 1603-1611 (2007) |
| 2006 |
|---|
| 26 | | R. K. Mohanty,
Noopur Khosla:
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems.
Applied Mathematics and Computation 172(1): 148-162 (2006) |
| 25 | | R. K. Mohanty,
Urvashi Arora:
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives.
Applied Mathematics and Computation 172(1): 531-544 (2006) |
| 24 | | R. K. Mohanty,
Swarn Singh:
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems.
Applied Mathematics and Computation 175(2): 1400-1414 (2006) |
| 23 | | R. K. Mohanty,
Urvashi Arora:
A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization.
Applied Mathematics and Computation 180(2): 538-548 (2006) |
| 22 | | Urvashi Arora,
Samir Karaa,
R. K. Mohanty:
A new stable variable mesh method for 1-D non-linear parabolic partial differential equations.
Applied Mathematics and Computation 181(2): 1423-1430 (2006) |
| 21 | | R. K. Mohanty:
A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'.
Applied Mathematics and Computation 183(1): 477-485 (2006) |
| 2005 |
|---|
| 20 | | R. K. Mohanty:
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients.
Applied Mathematics and Computation 162(2): 549-557 (2005) |
| 19 | | R. K. Mohanty:
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients.
Applied Mathematics and Computation 165(1): 229-236 (2005) |
| 18 | | R. K. Mohanty,
Navnit Jha:
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems.
Applied Mathematics and Computation 168(1): 704-716 (2005) |
| 17 | | R. K. Mohanty,
David J. Evans,
Urvashi Arora:
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems.
Int. J. Comput. Math. 82(1): 55-66 (2005) |
| 16 | | R. K. Mohanty,
Noopur Khosla:
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems.
Int. J. Comput. Math. 82(10): 1261-1273 (2005) |
| 15 | | R. K. Mohanty,
David J. Evans:
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k2 + h4) difference method.
Int. J. Comput. Math. 82(2): 203-218 (2005) |
| 14 | | David J. Evans,
R. K. Mohanty:
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity.
Int. J. Comput. Math. 82(3): 341-353 (2005) |
| 13 | | R. K. Mohanty,
David J. Evans:
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems.
Int. J. Comput. Math. 82(4): 433-444 (2005) |
| 12 | | R. K. Mohanty,
David J. Evans,
Noopur Khosla:
An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems.
Int. J. Comput. Math. 82(9): 1125-1139 (2005) |
| 2004 |
|---|
| 11 | | R. K. Mohanty:
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation.
Appl. Math. Lett. 17(1): 101-105 (2004) |
| 10 | | R. K. Mohanty:
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions.
Applied Mathematics and Computation 152(3): 799-806 (2004) |
| 9 | | R. K. Mohanty,
P. L. Sachdev,
Navnit Jha:
An O(h4) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems.
Applied Mathematics and Computation 158(3): 853-868 (2004) |
| 8 | | R. K. Mohanty,
David J. Evans:
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates.
Int. J. Comput. Math. 81(12): 1537-1548 (2004) |
| 7 | | R. K. Mohanty,
Navnit Jha,
David J. Evans:
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems.
Int. J. Comput. Math. 81(5): 615-627 (2004) |
| 2003 |
|---|
| 6 | | R. K. Mohanty,
David J. Evans,
Dinesh Kumar:
High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind.
Int. J. Comput. Math. 80(3): 381-398 (2003) |
| 5 | | R. K. Mohanty,
David J. Evans:
A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems.
Int. J. Comput. Math. 80(4): 479-492 (2003) |
| 4 | | R. K. Mohanty,
David J. Evans:
The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind.
Int. J. Comput. Math. 80(9): 1147-1159 (2003) |
| 2002 |
|---|
| 3 | | R. K. Mohanty,
M. K. Jain,
Urvashi Arora:
An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions.
Int. J. Comput. Math. 79(1): 133-142 (2002) |
| 2 | | David J. Evans,
R. K. Mohanty:
Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method.
Int. J. Comput. Math. 79(10): 1121-1133 (2002) |
| 1999 |
|---|
| 1 | | R. K. Mohanty,
David J. Evans:
Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer.
Parallel Algorithms Appl. 13(3): 239-263 (1999) |
