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R. K. Mohanty, Kajal Mittal & Deepti Kaur. (2021) A new high accuracy off-step cubic spline approximations on a quasi-variable mesh for the system of nonlinear parabolic equations in one space dimension. International Journal for Computational Methods in Engineering Science and Mechanics 22:2, pages 123-137.
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J. Rashidinia, Kh. Maleknejad & H. Jalilian. (2020) Convergence analysis of non-polynomial spline functions for the Fredholm integral equation. International Journal of Computer Mathematics 97:6, pages 1197-1211.
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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2016) A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. International Journal of Computer Mathematics 93:10, pages 1771-1786.
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Articles from other publishers (21)
Adel R. Hadhoud, H. M. Srivastava & Abdulqawi A. M. Rageh. (2021) Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically. Advances in Difference Equations 2021:1.
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Nazan Çağlar. (2021) Non-polynomial Cubic Spline Method for the Solution of Second-order Linear Hyperbolic Equation. WSEAS TRANSACTIONS ON COMPUTERS 20, pages 301-308.
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R. K. Mohanty & Sachin Sharma. (2020) A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers’ equations and Burgers–Huxley equation. Engineering with Computers 37:4, pages 3049-3066.
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Navnit Jha & Madhav Wagley. (2020) Stability Analysis of Quasi-variable Grids Cubic Spline Fourth-Order Compact Implicit Algorithms for Burger’s Type Parabolic PDEs. Iranian Journal of Science and Technology, Transactions A: Science 44:6, pages 1875-1890.
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A A Chekalin, M K Reshetnikov, S V Borodulina & O G Kuznetsova. (2020) Spline-based surfaces in architecture and civil engineering. IOP Conference Series: Materials Science and Engineering 896:1, pages 012009.
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Ranjan Kumar Mohanty & Sachin Sharma. (2020) A high-resolution method based on off-step non-polynomial spline approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations. Engineering Computations 37:8, pages 2785-2818.
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R. K. Mohanty & S. Sharma. (2020) Fourth-Order Numerical Scheme Based on Half-Step Non-Polynomial
Spline Approximations for 1D Quasi-Linear Parabolic Equations. Numerical Analysis and Applications 13:1, pages 68-81.
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Ranjan Kumar Mohanty & Gunjan Khurana. (2019) A new high accuracy cubic spline method based on half-step discretization for the system of 1D non-linear wave equations. Engineering Computations 36:3, pages 930-957.
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R. K. Mohanty, Sachin Sharma & Swarn Singh. (2018) A New Two-Level Implicit Scheme for the System of 1D Quasi-Linear Parabolic Partial Differential Equations Using Spline in Compression Approximations. Differential Equations and Dynamical Systems 27:1-3, pages 327-356.
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RK Mohanty & Gunjan Khurana. (2017) A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations. Advances in Difference Equations 2017:1.
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A. S. V. Ravi Kanth & S. Deepika. (2017) Non-Polynomial Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation. International Journal of Nonlinear Sciences and Numerical Simulation 18:3-4, pages 277-284.
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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2015) A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Applied Mathematics and Computation 260, pages 82-96.
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Ghazala Akram & Christian Beck. (2015) Hierarchical cascade model leading to 7-th order initial value problem. Applied Numerical Mathematics 91, pages 89-97.
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Serhat Yilmaz. The numerical solution of initial-boundary value problem for nonlinear Fisher?s equation by using non-polynomial spline functions. The numerical solution of initial-boundary value problem for nonlinear Fisher?s equation by using non-polynomial spline functions.
R.K. Mohanty & Venu Gopal. (2014) High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Applied Mathematics and Computation 238, pages 250-265.
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Hikmet Caglar & Mehmet Fatih Ucar. 2013. Chaos and Complex Systems. Chaos and Complex Systems
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Talaat S. El-Danaf & Adel R. Hadhoud. (2012) Parametric spline functions for the solution of the one time fractional Burgers’ equation. Applied Mathematical Modelling 36:10, pages 4557-4564.
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S.H. Caglar & M.F. Ucar. (2012) Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation. Acta Physica Polonica A 121:1, pages 262-264.
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Talaat S. El-Danaf, Mohamed A. Ramadan & Faisal E. I. Abd Alaal. (2011) Numerical studies of the cubic non-linear Schrodinger equation. Nonlinear Dynamics 67:1, pages 619-627.
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Mohammad Madani, Mahdi Fathizadeh, Yasir Khan & Ahmet Yildirim. (2011) On the coupling of the homotopy perturbation method and Laplace transformation. Mathematical and Computer Modelling 53:9-10, pages 1937-1945.
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Ranjan Kumar Mohanty & Vijay Dahiya. (2011) An O(k<sup>2</sup>+kh<sup>2</sup>+h<sup>2</sup>) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations. American Journal of Computational Mathematics 01:01, pages 11-17.
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