for two-dimensional quasi-linear elliptic boundary value problemCitations (18)
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R. K. Mohanty, Ravindra Kumar & Nikita Setia. (2021) Cubic spline approximation based on half-step discretization for 2D quasilinear elliptic equations. International Journal for Computational Methods in Engineering Science and Mechanics 22:1, pages 45-59.
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Homa Zadvan & Jalil Rashidinia. (2019) Tension spline method for the solution of elliptic equations. Journal of Taibah University for Science 13:1, pages 604-610.
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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, Weizhong Dai & Fei Han. (2015) A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion. International Journal of Computer Mathematics 92:8, pages 1574-1590.
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R. K. Mohanty & Ravindra Kumar. (2014) A Novel Numerical Algorithm of Numerov Type for 2D Quasi-linear Elliptic Boundary Value Problems. International Journal for Computational Methods in Engineering Science and Mechanics 15:6, pages 473-489.
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Articles from other publishers (13)
R.K. Mohanty & Niranjan. (2024) A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions. Results in Applied Mathematics 22, pages 100454.
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R.K. Mohanty & Niranjan. (2023) Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems. Computers & Mathematics with Applications 152, pages 239-249.
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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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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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Ranjan K Mohanty & Nikita Setia. (2013) A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations. Advances in Difference Equations 2013:1.
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R.K. Mohanty, M.K. Jain & Deepika Dhall. (2013) High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems. Applied Mathematical Modelling 37:1-2, pages 155-171.
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R. K. Mohanty, Rajive Kumar & Vijay Dahiya. (2012) Cubic Spline Iterative Method for Poisson’s Equation in Cylindrical Polar Coordinates. ISRN Mathematical Physics 2012, pages 1-11.
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R. K. Mohanty & Nikita Setia. (2015) A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations. East Asian Journal on Applied Mathematics 2:1, pages 59-82.
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Manoj Kumar & Garima Mishra. (2011) An Introduction to Numerical Methods for the Solutions of Partial Differential Equations. Applied Mathematics 02:11, pages 1327-1338.
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R.K. Mohanty & Swarn Singh. (2006) A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems. Applied Mathematics and Computation 175:2, pages 1400-1414.
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