R. K. Mohanty

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2007

29 EE 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)

28 EE R. K. Mohanty: The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Applied Mathematics and Computation 190(1): 321-331 (2007)

27 EE 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)

26 EE 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

25 EE 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)

24 EE 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)

23 EE 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)

22 EE 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)

21 EE 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)

20 EE 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

19 EE 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)

18 EE 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)

17 EE 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)

16 EE 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)

15 EE 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)

14 EE 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)

13 EE 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)

12 EE 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)

11 EE 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

10 EE R. K. Mohanty: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Appl. Math. Lett. 17(1): 101-105 (2004)

9 EE 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 EE 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 EE 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 EE 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 EE 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 EE 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 EE 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 EE 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 EE 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)

2007
29	EE	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)
28	EE	R. K. Mohanty: The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Applied Mathematics and Computation 190(1): 321-331 (2007)
27	EE	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)
26	EE	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
25	EE	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)
24	EE	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)
23	EE	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)
22	EE	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)
21	EE	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)
20	EE	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
19	EE	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)
18	EE	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)
17	EE	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)
16	EE	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)
15	EE	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)
14	EE	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)
13	EE	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)
12	EE	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)
11	EE	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
10	EE	R. K. Mohanty: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Appl. Math. Lett. 17(1): 101-105 (2004)
9	EE	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	EE	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	EE	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	EE	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	EE	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	EE	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	EE	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	EE	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	EE	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)

Coauthor Index

1 Urvashi Arora [3] [16] [21] [22] [24]

2 David J. Evans [1] [2] [4] [5] [6] [7] [8] [11] [12] [13] [14] [16]

3 M. K. Jain [3]

4 Navnit Jha [7] [9] [17]

5 Samir Karaa [21]

6 Noopur Khosla [11] [15] [25]

7 Dinesh Kumar [6]

8 P. L. Sachdev [9]

9 Swarn Singh [23]

Colors in the list of coauthors

1	Urvashi Arora	[3] [16] [21] [22] [24]
2	David J. Evans	[1] [2] [4] [5] [6] [7] [8] [11] [12] [13] [14] [16]
3	M. K. Jain	[3]
4	Navnit Jha	[7] [9] [17]
5	Samir Karaa	[21]
6	Noopur Khosla	[11] [15] [25]
7	Dinesh Kumar	[6]
8	P. L. Sachdev	[9]
9	Swarn Singh	[23]