A new method of solving the coefficient inverse problem

DOI10.1007/s11425-007-0013-8zbMath1125.35418OpenAlexW2015853173MaRDI QIDQ995680

Li-Hong Yang, Ming-Gen Cui, Ying-Zhen Lin

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0013-8

zbMATH Keywords

reproducing kernel

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items (12)

Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods ⋮ Application of reproducing kernel method to third order three-point boundary value problems ⋮ Homotopy perturbation-reproducing kernel method for nonlinear systems of second order boundary value problems ⋮ A numerical approach for solving the high-order nonlinear singular Emden-Fowler type equations ⋮ Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space ⋮ Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method ⋮ A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems ⋮ The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients ⋮ A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition ⋮ Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method ⋮ THE REPRODUCING KERNEL METHOD FOR SOME VARIATIONAL PROBLEMS DEPENDING ON INDEFINITE INTEGRALS ⋮ A kernel-based method for Volterra delay integro-differential equations

Cites Work

• A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations
• The exact solutions of a kind of nonlinear operator equations
• A new slant on the inverse problems of electromagnetic frequency sounding: ‘convexification’ of a multiextremal objective function via the Carleman weight functions
• Theory of Reproducing Kernels
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