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Author

S. Mallikarjunaiah

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2 papers indexed here

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Preprint Sep 2026

Neural Network Solvers for Nonlinear ODEs: Benchmarking MLPs and B-Spline/Chebyshev KANs

Three neural networks are compared as solvers of nonlinear ordinary differential equations: a multilayer perceptron (MLP), a Kolmogorov-Arnold network (KAN) whose edges are B-splines, and a KAN whose edges are Chebyshev series. Each network is trained only on the residual of the equation and on its initial or boundary...

Mahidhar Reddy Patukuri, B. V. S. N. Rao, S. Mallikarjunaiah · 0 citations
Open access Oct 2026

Decoupling deformation modes: a physically interpretable neural network for hyperelastic constitutive modeling

Hyperelastic constitutive models traditionally rely on a single global strain energy density function defined by deformation invariants. While this approach ensures thermodynamic consistency and mathematical simplicity, it implicitly forces a uniform energy landscape across all deformation modes. As demonstrated by...

Chandana Pati, S. Mallikarjunaiah · 0 citations

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