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Pradip Roul, V. M. K. Prasad Goura & Roberto Cavoretto. (2021) A numerical technique based on B‐spline for a class of time‐fractional diffusion equation. Numerical Methods for Partial Differential Equations 39:1, pages 45-64.
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Soner Aydinlik, Ahmet Kiris & Pradip Roul. (2022) An effective approach based on Smooth Composite Chebyshev Finite Difference Method and its applications to Bratu-type and higher order Lane–Emden problems. Mathematics and Computers in Simulation 202, pages 193-205.
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Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Dumitru Baleanu & Juan L. G. Guirao. (2022) Neuro-swarm computational heuristic for solving a nonlinear second-order coupled Emden–Fowler model. Soft Computing 26:24, pages 13693-13708.
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Soner Aydinlik. (2021) An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. International Journal of Biomathematics 15:05.
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Waleed Adel, Zulqurnain Sabir, Hadi Rezazadeh & A. Aldurayhim. (2022) Application of a Novel Collocation Approach for Simulating a Class of Nonlinear Third-Order Lane–Emden Model. Mathematical Problems in Engineering 2022, pages 1-16.
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K. R. Raslan, Khalid K. Ali, M. A. Shaalan & Hind K. Al-Jeaid. (2022) Solutions of Fluid Flow Problem over a Generalized Stretching or Shrinking Sheet with Heat Transfer Using Cubic and Quartic B-Spline Collocation Methods. International Journal of Applied and Computational Mathematics 8:3.
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Pradip Roul & V.M.K. Prasad Goura. (2022) A high‐order efficient technique and its convergence analysis for Bratu‐type and Lane‐Emden‐type problems. Mathematical Methods in the Applied Sciences 45:9, pages 5215-5233.
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W. M. Abd-Elhameed & H. M. Ahmed. (2021) Tau and Galerkin operational matrices of derivatives for treating singular and Emden–Fowler third-order-type equations. International Journal of Modern Physics C 33:05.
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Pradip Roul & V. M. K. Prasad Goura. (2022) A fast numerical scheme for solving singular boundary value problems arising in various physical models. Journal of Mathematical Chemistry 60:3, pages 514-541.
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Harendra Singh. (2021) Solving a class of local and nonlocal elliptic boundary value problems arising in heat transfer. Heat Transfer 51:2, pages 1524-1542.
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Pradip Roul & V.M.K. Prasad Goura. (2022) A superconvergent B-spline technique for second order nonlinear boundary value problems. Applied Mathematics and Computation 414, pages 126615.
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Ahlem Ben Rabah, Shaher Momani & Omar Abu Arqub. (2022) The B-spline collocation method for solving conformable initial value problems of non-singular and singular types. Alexandria Engineering Journal 61:2, pages 963-974.
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Ram Kishun Lodhi, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar & Ateq Alsaadi. (2022) Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method. AIMS Mathematics 7:4, pages 7257-7273.
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Swati, Mandeep Singh & Karanjeet Singh. (2021) An advancement approach of Haar wavelet method and Bratu-type equations. Applied Numerical Mathematics 170, pages 74-82.
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Minqiang Xu & Emran Tohidi. (2021) A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems. Journal of Applied Mathematics and Computing 67:1-2, pages 405-421.
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Harendra Singh. (2021) Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems. International Journal of Nonlinear Sciences and Numerical Simulation 0:0.
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Mo Faheem, Arshad Khan & E. R. El-Zahar. (2020) On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena. Advances in Difference Equations 2020:1.
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Randhir Singh. (2020) An iterative technique for solving a class of local and nonlocal elliptic boundary value problems. Journal of Mathematical Chemistry 58:9, pages 1874-1894.
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Pradip Roul & V. M. K. Prasad Goura. (2020) A Bessel collocation method for solving Bratu’s problem. Journal of Mathematical Chemistry 58:8, pages 1601-1614.
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Pradip Roul. (2020) A fourth order numerical method based on B-spline functions for pricing Asian options. Computers & Mathematics with Applications 80:3, pages 504-521.
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Pradip Roul. (2020) A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid. Applied Numerical Mathematics 153, pages 558-574.
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Pradip Roul. (2020) A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options. Applied Numerical Mathematics 151, pages 472-493.
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Pradip Roul & V. M. K. Prasad Goura. (2020) A sixth order optimal B-spline collocation method for solving Bratu’s problem. Journal of Mathematical Chemistry 58:5, pages 967-988.
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Pradip Roul & V.M.K. Prasad Goura. (2020) A high order numerical method and its convergence for time-fractional fourth order partial differential equations. Applied Mathematics and Computation 366, pages 124727.
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Yuke Liang, Ziang Feng, Jianxing Leng & Jingchang Long. (2019) Propeller Underwater Cleaning Trajectory Planning. Propeller Underwater Cleaning Trajectory Planning.
Pradip Roul, Harshita Madduri & Ravi Agarwal. (2019) A fast-converging recursive approach for Lane–Emden type initial value problems arising in astrophysics. Journal of Computational and Applied Mathematics 359, pages 182-195.
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Pradip Roul, Kiran Thula & VMK Prasad Goura. (2019) An optimal sixth‐order quartic B‐spline collocation method for solving Bratu‐type and Lane‐Emden–type problems. Mathematical Methods in the Applied Sciences 42:8, pages 2613-2630.
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Aisarul Hassan, Siraj-ul-Islam Ahmad, Muhammad Kamran, Ahsan Illahi & Raja Muhammad Asif Zahoor. (2019) Design of cascade artificial neural networks optimized with the memetic computing paradigm for solving the nonlinear Bratu system. The European Physical Journal Plus 134:3.
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Pradip Roul. (2019) A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems. Journal of Mathematical Chemistry 57:3, pages 945-969.
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Pradip Roul & V.M.K. Prasad Goura. (2019) B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems. Applied Mathematics and Computation 341, pages 428-450.
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Soner Aydinlik & Ahmet Kiris. (2018) A high-order numerical method for solving nonlinear Lane-Emden type equations arising in astrophysics. Astrophysics and Space Science 363:12.
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Harshita Madduri & Pradip Roul. (2018) A fast-converging iterative scheme for solving a system of Lane–Emden equations arising in catalytic diffusion reactions. Journal of Mathematical Chemistry.
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