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India | Mathematics | Volume 14 Issue 6, June 2025 | Pages: 1539 - 1539
B-Spline Collocation Method for Solving Time-Dependent Differential Equations
Abstract: This paper presents the use of B-spline collocation methods for solving time-dependent partial differential equations (PDEs) and ordinary differential equations (ODEs). B-splines, known for their flexibility and local support, are used as basic functions in a collocation framework. We validate the method on classical problems like the heat equation and second-order ODEs, showing high accuracy and efficiency.
Keywords: B-spline, collocation method, time-dependent PDE, numerical analysis, heat equation
How to Cite?: Dr. Y. Rajashekhar Reddy, "B-Spline Collocation Method for Solving Time-Dependent Differential Equations", Volume 14 Issue 6, June 2025, International Journal of Science and Research (IJSR), Pages: 1539-1539, https://www.ijsr.net/getabstract.php?paperid=SR25626094457, DOI: https://dx.doi.org/10.21275/SR25626094457