Application of quintic B-splines collocation method for solving inverse Rosenau equation with Dirichlet’s boundary conditions
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DOI: 10.1007/s00366-017-0512-3
Abstract: In this paper, we discuss a numerical method for solving an inverse Rosenau equation with Dirichlet’s boundary conditions. The approach used is based on collocation of a quintic B-spline over finite elements so that we… read more here.
Keywords: method solving; method; rosenau equation; solving inverse ... See more keywords
Unprecedented homotopy perturbation method for solving nonlinear equations in the enzymatic reaction of glucose in a spherical matrix
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DOI: 10.1007/s00449-017-1865-0
Abstract: The theory of glucose-responsive composite membranes for the planar diffusion and reaction process is extended to a microsphere membrane. The theoretical model of glucose oxidation and hydrogen peroxide production in the chitosan-aliginate microsphere has been… read more here.
Keywords: method solving; unprecedented homotopy; homotopy perturbation; perturbation method ... See more keywords
A method for solving fuzzy matrix equations
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DOI: 10.1007/s00500-017-2680-x
Abstract: There are many reported studies, in which researchers tried to solve a system of fuzzy linear equations numerically. In this paper, a numerical method for solving fuzzy system $$A{\tilde{X}} B={\tilde{C}}$$AX~B=C~ of matrix equations is investigated.… read more here.
Keywords: method solving; solving fuzzy; matrix; matrix equations ... See more keywords
Parallel Extended Path Method for Solving Perfect Foresight Models
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DOI: 10.1007/s10614-020-10044-y
Abstract: We parallelize the extended path method for solving rational expectations models, and apply it to compute perfect foresight competitive equilibrium for the global economy with multiple goods, regions, industries, and households. At each iteration, first… read more here.
Keywords: method solving; perfect foresight; path method; parallel extended ... See more keywords
On the SQH Method for Solving Differential Nash Games
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DOI: 10.1007/s10883-021-09546-1
Abstract: A sequentialquadratic Hamiltonian schemefor solving open-loop differential Nash games is proposed and investigated. This method is formulated in the framework of the Pontryagin maximum principle and represents an efficient and robust extension of the successive… read more here.
Keywords: nash games; differential nash; sqh method; solving differential ... See more keywords
Second derivative free sixth order continuation method for solving nonlinear equations with applications
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DOI: 10.1007/s10910-018-0868-7
Abstract: In this paper, we deal with the study of convergence analysis of modified parameter based family of second derivative free continuation method for solving nonlinear equations. We obtain the order of convergence is at least… read more here.
Keywords: derivative free; order; method solving; continuation method ... See more keywords
A Generalization of Ritz-Variational Method for Solving a Class of Fractional Optimization Problems
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DOI: 10.1007/s10957-016-0912-3
Abstract: This paper presents an approximate method for solving a class of fractional optimization problems with multiple dependent variables with multi-order fractional derivatives and a group of boundary conditions. The fractional derivatives are in the Caputo… read more here.
Keywords: solving class; method solving; class fractional; method ... See more keywords
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities
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DOI: 10.1007/s10957-017-1214-0
Abstract: In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is considered to illustrate… read more here.
Keywords: pseudo monotone; method solving; extragradient method; variational inequalities ... See more keywords
Modified Newton-NSS method for solving systems of nonlinear equations
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DOI: 10.1007/s11075-017-0301-5
Abstract: By making use of the normal and skew-Hermitian splitting (NSS) method as the inner solver for the modified Newton method, we establish a class of modified Newton-NSS method for solving large sparse systems of nonlinear… read more here.
Keywords: method solving; method; systems nonlinear; nss method ... See more keywords
A Legendre-based computational method for solving a class of Itô stochastic delay differential equations
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DOI: 10.1007/s11075-018-0526-y
Abstract: This paper provides a numerical method for solving a class of Itô stochastic delay differential equations (SDDEs). The method’s novelty is its use of the spectral collocation approach using Legendre polynomials for solving SDDEs. We… read more here.
Keywords: solving class; method solving; stochastic delay; class stochastic ... See more keywords
Modified Newton-PHSS method for solving nonlinear systems with positive definite Jacobian matrices
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DOI: 10.1007/s12190-020-01404-w
Abstract: By making use of the preconditioned Hermitian and skew-Hermitian splitting (PHSS) iteration as the inner solver for the modified Newton method, we establish the modified Newton-PHSS method for solving large sparse systems of nonlinear equations… read more here.
Keywords: newton phss; method solving; phss method; modified newton ... See more keywords