A Novel Approach to Solve Nonlinear Boundary Problems of Multilayered Thin-Walled Shell Theory


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Abstract


The paper presents a novel approach to solve nonlinear boundary problems for partial differential equations and its application nonlinear boundary problems of multilayered thin-walled shell theory. The approach based on Kolmogorov’s superposition allows reduction to a series of single-dimensional boundary value problems for delayed differential equations. The last ones are solved numerically with employment of Newton-Raphson method.
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Keywords


Numerical Method for Nonlinear Boundary Problem; Kolmogorov’s Superposition; Delayed Differential Equations; Multilayered Cylindrical Shell; Newton-Raphson Method

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References


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