Quintic B-Spline for the Numerical Solution of Fourth-Order Parabolic Partial Differential Equations
نویسندگان
چکیده
The quintic B-spline collocation method is developed to solve the fourth-order parabolic partial differential equation. This kind of problem arises in the field of transverse vibration of the uniform flexible beam. Stability analysis of the method has also been proven. Two examples have been considered to illustrate the efficiency of the method developed. It has been observed that the numerical results efficiently approximate the exact solutions.
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