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An Integral Equation Connected with the Jacobi Polynomials
SIAM Journal on Mathematical Analysis, 1983This paper considers the finite convolution equation \[ ({\text{i}}) \qquad \int_{ - 1}^1 {f(t)k(x - t)dt = g(x),} \quad - 1 0, \hfill \\ b| t |^{ - \nu } ,\quad x < 0. \hfill \\ \end{gathered} \right.\] Here a and b are nonzero real numbers with $| a | \ne | b |$, and $\nu < 1$ is not integral.
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Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
Automatica, 1997Randal Beard, John Wen, George N Saridis
exaly
New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2001Zuntao Fu, Shida Liu, Shikuo Liu
exaly
Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2001Zuntao Fu, Shida Liu, Shikuo Liu
exaly
A Jacobi–Gauss collocation method for solving nonlinear Lane–Emden type equations
Communications in Nonlinear Science and Numerical Simulation, 2012A H Bhrawy
exaly
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal of Scientific Computing, 2000Danping Peng
exaly

