Verification of the invariant imbedding method for certain Fredholm integral equations

DOI10.1016/0022-247X(68)90135-2zbMath0165.13402OpenAlexW2087796004MaRDI QIDQ2529699

Harriet H. Kagiwada, Robert E. Kalaba

Publication date: 1968

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(68)90135-2

zbMATH Keywords

integral equations, integral transforms

Related Items (12)

Exact Solution of a Family of Integral Equations of Anisotropic Scattering ⋮ Initial value treatment for torsion of an elastic layer ⋮ A Cauchy system for the Green's function and the solution of a two-point boundary value problem ⋮ Optimal trajectories for quadratic variational processes via invariant imbedding ⋮ Exact solution of Pontryagin's equations of optimal control. I ⋮ An initial value method for an axisymmetric contact problem ⋮ Invariant imbedding and the numerical determination of Green's functions ⋮ The relationship between two variants of invariant imbedding ⋮ Derivation and validation of initial-value methods for boundary-value problems for difference equations ⋮ Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II ⋮ Dynamic programming, invariant imbedding and thin beam theory ⋮ Exact solution for the stress concentration in a slot

Cites Work

• Initial-value methods for the basic boundary-value problem and integral equation of radiative transfer
• An initial-value method for Fredholm integral equations
• ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA
• Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
• An initial value method for fredholm integral equations of convolution type^*
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