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Displaying similar documents to “Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions.”

Boyd index and nonlinear Volterra equations.

Jesús M. Fernández Castillo, W. Okrasinski (1991)

Extracta Mathematicae

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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.

New conditions for the existence of non trivial solutions to some Volterra equations.

W. Okrasinski (1990)

Extracta Mathematicae

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We consider the following Volterra equation: (1)       u(x) = ∫0 x k(x-s) g(u(s)) ds,   where, k: [0, δ0] → R is an increasing absolutely continuous function such that k(0) = 0 g: [0,+ ∞) → [0,+ ∞) is an increasing absolutely continuous function such that g(0) = 0 and g(u)/u → ∞ as u → 0+ (see [3]). Let us note that (1) has always...

Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach

Najeeb Alam Khan, Amber Shaikh, Muhammad Ayaz (2017)

Waves, Wavelets and Fractals

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The motivation of this paper is to study the fourth order Emden-Fowler equations with initial values by Haarwavelet collocation method(HWCM). In this methodology, differential equations are transformed into a system of linear or nonlinear equations that leads to the value of Haar coefficients and later the solution can be obtained on the entire domain (0, 1]. The fourth order nonlinear test examples are solved at different Haar levels to analyze the accuracy of results. The simplicity...