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International Journal of Computer Mathematics Volume 46, 1992 - Issue 3-4
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Original Articles

Fourth order finite difference methods for the system of 2-d nonlinear elliptic equations with variable coefficients

R. K. Mohanty School of Mathematics, Devi Ahilya University, Khandwa Road, Indore, 452001, India
Pages 195-206 | Received 18 Apr 1991, Published online: 19 Mar 2007

Citations (19)

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Read on this site (3)

R. K. Mohanty, Geetan Manchanda & Arshad Khan. (2019) Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations. Journal of Difference Equations and Applications 25:5, pages 716-749.
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R.K. Mohanty, M. K. Jain & P. K. Pandey. (1996) Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind. International Journal of Computer Mathematics 61:1-2, pages 155-163.
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R. K. Mohanty, Kochurani George & M. K. Jain. (1995) High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. International Journal of Computer Mathematics 56:3-4, pages 185-198.
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Articles from other publishers (16)

Nikita Setia & R.K. Mohanty. (2023) Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain. MethodsX 10, pages 101980.
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Ishaani Priyadarshini & R. K. Mohanty. (2020) High-resolution compact numerical method for the system of 2D quasi-linear elliptic boundary value problems and the solution of normal derivatives on an irrational domain with engineering applications. Engineering with Computers 38:S1, pages 539-560.
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R.K. Mohanty, Nikita Setia, Gunjan Khurana & Geetan Manchanda. (2022) High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. MethodsX 9, pages 101790.
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Dharmaraj Deka & Shuvam Sen. (2022) Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids. Applied Mathematics and Computation 413, pages 126652.
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Ishaani Priyadarshini & R. K. Mohanty. (2021) High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. Soft Computing 25:15, pages 9967-9991.
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R. K. Mohanty, Geetan Manchanda & Arshad Khan. (2019) Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Advances in Difference Equations 2019:1.
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Navnit Jha, Venu Gopal & Bhagat Singh. (2016) A Family of Compact Finite Difference Formulations for Three-Space Dimensional Nonlinear Poisson’s Equations in Cartesian Coordinates. Differential Equations and Dynamical Systems 26:1-3, pages 105-123.
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Navnit Jha. (2016) A third (four)-order accurate nine-point compact EEM-FDM for coupled system of mildly non-linear elliptic equations. A third (four)-order accurate nine-point compact EEM-FDM for coupled system of mildly non-linear elliptic equations.
Manoj Kumar & Neelima Singh. (2009) A collection of computational techniques for solving singular boundary-value problems. Advances in Engineering Software 40:4, pages 288-297.
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Godfrey Saldanha. (2001) Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations. Numerical Methods for Partial Differential Equations 17:1, pages 43-53.
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R.K. Mohanty. (1997) Order h4 difference methods for a class of singular two space elliptic boundary value problems. Journal of Computational and Applied Mathematics 81:2, pages 229-247.
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R. K. Mohanty & P. K. Pandey. (1996) Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions. Numerical Methods for Partial Differential Equations 12:6, pages 707-717.
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R.K. Mohanty, M.K. Jain & Kochurani George. (1996) On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients. Journal of Computational and Applied Mathematics 72:2, pages 421-431.
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R.K. Mohanty, M.K. Jain & Kochurani George. (1996) High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients. Journal of Computational and Applied Mathematics 70:2, pages 231-243.
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R.K. Mohanty & M.K. Jain. (1996) High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients. Journal of Computational and Applied Mathematics 70:1, pages 15-32.
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R. K. Mohanty & M. K. Jain. (2005) Technical note: The numerical solution of the system of 3‐D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth‐order difference methods. Numerical Methods for Partial Differential Equations 11:3, pages 187-197.
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