Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Padé approximation
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DOI: 10.1002/mma.5985
Abstract: This paper adopts the Adomian decomposition method and the Padé approximation techniques to derive the approximate solutions of a conformable Rosenau‐Hyman equation by considering the new definition of the Adomian polynomials. The Padé approximate solutions… read more here.
Keywords: adomian decomposition; decomposition method; solutions conformable; pad approximation ... See more keywords
Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise
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DOI: 10.1002/mma.6925
Abstract: In this paper, we consider the approximate solutions of time‐fractional reaction–diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, one can approximate the solutions of the stochastic time‐fractional reaction–diffusion… read more here.
Keywords: time; fractional reaction; time fractional; reaction diffusion ... See more keywords
On multiple solutions for a fourth order nonlinear singular boundary value problems arising in epitaxial growth theory
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DOI: 10.1002/mma.7119
Abstract: In this article, we consider the fourth order non‐self‐adjoint singular boundary value problem 1rr1rrϕ′′′′=ϕ′ϕ″r+λ, with λ as a parameter measures the speed at which new particles are deposited. This differential equation is non‐self‐adjoint, so finding… read more here.
Keywords: boundary value; fourth order; value; singular boundary ... See more keywords
Approximate solutions of vector optimization problems via improvement sets in real linear spaces
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DOI: 10.1007/s10898-017-0593-y
Abstract: We deal with a constrained vector optimization problem between real linear spaces without assuming any topology and by considering an ordering defined through an improvement set E. We study E-optimal and weak E-optimal solutions and… read more here.
Keywords: improvement; approximate solutions; linear spaces; optimization ... See more keywords
Error Bounds for Approximate Solutions of Abstract Inequality Systems and Infinite Systems of Inequalities on Banach Spaces
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DOI: 10.1007/s11228-020-00551-3
Abstract: Using the result of the error estimate of the simple extended Newton method established in the present paper for solving abstract inequality systems, we study the error bound property of approximate solutions of abstract inequality… read more here.
Keywords: abstract inequality; banach spaces; approximate solutions; solutions abstract ... See more keywords
On approximate solutions of nondifferentiable vector optimization problems with cone-convex objectives
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DOI: 10.1007/s11590-018-1292-4
Abstract: In this paper, we study a nondifferentiable constrained vector optimization problem where the partial order in the image space is induced by a closed, convex and pointed cone with nonempty interior. Under the C-convexity assumption,… read more here.
Keywords: optimization; approximate solutions; nondifferentiable vector; solutions nondifferentiable ... See more keywords
On a doubly nonlinear PDE with stochastic perturbation
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DOI: 10.1007/s40072-018-0128-7
Abstract: We consider a doubly nonlinear evolution equation with multiplicative noise and show existence and pathwise uniqueness of a strong solution. Using a semi-implicit time discretization we get approximate solutions with monotonicity arguments. We establish a-priori… read more here.
Keywords: pde stochastic; approximate solutions; doubly nonlinear; show existence ... See more keywords
On the approximate solutions of augmented subproblems within sequential methods for nonlinear programming
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DOI: 10.1007/s40314-018-0702-7
Abstract: Within the context of sequential methods for solving general nonlinear programming problems, and on the grounds of a previous work of the same authors, this study deals with the theoretical reasoning behind handling the original… read more here.
Keywords: augmented subproblems; approximate solutions; subproblems within; solutions augmented ... See more keywords
Scalarization and Optimality Conditions for the Approximate Solutions to Vector Variational Inequalities in Banach Spaces
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DOI: 10.1007/s41980-020-00507-1
Abstract: In this paper, we present the notion of approximate solutions for vector variational inequalities in Banach spaces, which extends the existing approximate solutions. It is shown that, under the cone subconvexlikeness, our new approximate solutions… read more here.
Keywords: variational inequalities; approximate solutions; solutions vector; optimality conditions ... See more keywords
A Generalization of the Karush–Kuhn–Tucker Theorem for Approximate Solutions of Mathematical Programming Problems Based on Quadratic Approximation
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DOI: 10.1134/s0965542518030132
Abstract: In computations related to mathematical programming problems, one often has to consider approximate, rather than exact, solutions satisfying the constraints of the problem and the optimality criterion with a certain error. For determining stopping rules… read more here.
Keywords: mathematical programming; kuhn tucker; approximate solutions; programming problems ... See more keywords
ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS
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DOI: 10.1142/s0218348x18500949
Abstract: The new fractal models of the [Formula: see text]-dimensional and [Formula: see text]-dimensional nonlinear local fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical approximate solutions of the above two new… read more here.
Keywords: local fractional; harry dym; approximate solutions; see text ... See more keywords