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International Journal of Computer Mathematics Volume 94, 2017 - Issue 1
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Original Articles

Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubic B-spline finite elements

R.C. MittalDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee247667, IndiaView further author information
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Amit TripathiDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee247667, IndiaCorrespondence[email protected]
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Pages 1-21 | Received 24 Jun 2014, Accepted 17 Aug 2015, Published online: 21 Sep 2015

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Eric Ngondiep. (2021) A fourth-order two-level factored implicit scheme for solving two-dimensional unsteady transport equation with time-dependent dispersion coefficients. International Journal for Computational Methods in Engineering Science and Mechanics 22:4, pages 253-264.
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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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K. Gawryluk, T. Karpiuk, M. Gajda, K. Rza̧żewski & M. Brewczyk. (2018) Unified way for computing dynamics of Bose–Einstein condensates and degenerate Fermi gases. International Journal of Computer Mathematics 95:11, pages 2143-2161.
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Saedeh Foadian, Reza Pourgholi & S. Hashem Tabasi. (2018) Cubic B-spline method for the solution of an inverse parabolic system. Applicable Analysis 97:3, pages 438-465.
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Articles from other publishers (15)

Kamal R. Raslan, Khalid K. Ali & Mohamed S. Mohamed. (2023) Derivation of septic B-spline function in n -dimensional to solve n -dimensional partial differential equations . Nonlinear Engineering 12:1.
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K.R. Raslan, Khalid K. Ali & M.A. Shaalan. (2022) N-Dimensional quartic B-spline collocation method to solve different types of n-dimensional partial differential equations. Journal of Ocean Engineering and Science.
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K. R. Raslan, Khalid K. Ali & Hind K. Al-Jeaid. (2022) N -dimensional quintic B-spline functions for solving n -dimensional partial differential equations . Nonlinear Engineering 11:1, pages 123-134.
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Bengisen Pekmen Geridönmez. 2022. Mathematical Methods for Engineering Applications. Mathematical Methods for Engineering Applications 103 111 .
K. R. Raslan, Khalid K. Ali, Mohamed S. Mohamed & Adel R. Hadhoud. (2021) A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations. Advances in Difference Equations 2021:1.
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Ersin Bahar & Gurhan Gurarslan. (2020) B-Spline Method of Lines for Simulation of Contaminant Transport in Groundwater. Water 12:6, pages 1607.
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Ji Lin & Sergiy Reutskiy. (2020) A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems. Applied Mathematics and Computation 371, pages 124944.
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Farshid Mirzaee & Sahar Alipour. (2020) Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order. Journal of Computational and Applied Mathematics 366, pages 112440.
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Sergiy Reutskiy, Yuhui Zhang, Ji Lin & Hongguang Sun. (2020) Novel numerical method based on cubic B-splines for a class of nonlinear generalized telegraph equations in irregular domains. Alexandria Engineering Journal 59:1, pages 77-90.
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Farshid Mirzaee & Sahar Alipour. (2019) An efficient cubic B‐spline and bicubic B‐spline collocation method for numerical solutions of multidimensional nonlinear stochastic quadratic integral equations. Mathematical Methods in the Applied Sciences 43:1, pages 384-397.
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Ramesh Chand Mittal, Sudhir Kumar & Ram Jiwari. (2020) A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations. International Journal of Numerical Methods for Heat & Fluid Flow 30:9, pages 4281-4306.
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Shuguang Li. (2018) Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. Numerical Methods for Partial Differential Equations 35:1, pages 60-83.
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Geeta Arora, Ratesh Kumar & Harpreet Kaur. (2018) A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems. Ain Shams Engineering Journal 9:4, pages 3015-3031.
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Rajni Rohila & R.C. Mittal. (2018) An efficient Bi-cubic B-spline ADI method for numerical solutions of two-dimensional unsteady advection diffusion equations. International Journal of Numerical Methods for Heat & Fluid Flow 28:11, pages 2620-2649.
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Jalil Rashidinia & Sanaz Jamalzadeh. (2017) Modified B-Spline Collocation Approach for Pricing American Style Asian Options. Mediterranean Journal of Mathematics 14:3.
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