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new theoretical conditions for solving functional nonlinear equations by linearization then discretization
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نویسنده
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khellaf ammar ,aissaoui mohamed zine
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:2857 -2869
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چکیده
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In this paper, we propose to solve nonlinear functional equations given in an infinite-dimensional banach space by linearizing first and then discretizing the linear iterative equations. we establish new sufficient conditions which provide new criteria for dealing with convergence results. these conditions define a class of discretization schemes. some numerical examples confirm the theoretical results by treating an integro-differential equation.
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کلیدواژه
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nonlinear equation ,iterative methods ,convergence ,newton-kantorovich method
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آدرس
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national polytechnic college of constantine (engineering college), preparatory class department, algeria, university 8 may 1945 of guelma, faculty of mathematics and computer science and material sciences, department of mathematics, algeria
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پست الکترونیکی
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aissaouizine@gmail.com
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Authors
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