Enhancing solutions for non-linear ordinary differential equations via combined Laplace transform and reproducing kernel method

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Laplace transform (44A10)

Cites Work

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Iterative reproducing kernel Hilbert spaces method for Riccati differential equations
A reproducing kernel method for solving nonlocal fractional boundary value problems
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A novel method with error analysis for the numerical solution of a logarithmic singular Fredholm integral equation
Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment
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A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions

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