小波随机有限元方法研究
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小波随机有限元方法研究
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fnu ds mtkys esa ?kwjrh fuxkgsa jkr ds lUukVs esa Mjkrk Hkwrgk?kj A esuxsV ij [kM+h HkkjhHk Mjk nsrh gS A gj vkneh fuxkgsa Qsjus dks etcwj gks tkrk gSksa dh dkxn`f'V uk yxs A ykykyh& ?kj Hkwrgk ugh gS clus okys yksx Hkwrghizd`fr ds gS A fu[kkjpUn&vgadkj dk Hkwr flj pwys esa >wyrs gS Ajkr ds va/ksjs esa Hkh ,d thjksokV ds cYc ls ?kj jks’ku djrs gS A Hkh'k.k xehZ esa ,d fxykl fdlh dks ikuh rd ugh nsrs tcfd muds V;wcosy esa Hkjiwj ikuh gS A rksryknkl &ckcw Hkwrgk?kj ?kj esa jgus okys erych yksx vkneh ds os'k esa Hkwr gSsA fjVk;jes.V :ipUn& lj fnYyh okys lkgc fjVk;s \ dbZ lkyksa ls ,DlVsa’ku ij py jgs Fks ukA nhid&s A osyQs;j ikVhZ Hh A :ipUn&lj vkidks iwjh [kcj gS D;k \ nhid& dSlh [kcj :ipUn \ :ipUn&lkgc ,d dqlhZ NksM+g fjVk;jes.V rks gqvk ugh \ laLFkk ds cMs in ij jgdj djksM+ks dh dekbZ dj lkr ihf<;ksa ds xqtj clj dk bUrtke djus ds ckn Hkh cMs lkgc dk in vkSj nkSyr dk eksg de ugh gqvk] c<rk tk jgk gSA lkgc ikap lky igys fjVk;j gksdj Hkh ugh gq, A vc fjVk;j gksdj iSdst ij jgsxs A lj cMs+ksX; yksxksa dk gd fNurs jgsxs vkSj fdrus csjkstxkj iSnk djrs jgsxsA nhid& vkf[kjh ne rd dgdj ekFkk Bs A izeks’ku
& lj c/kkbZ gks A czkap gsM&dSlh c/kkbZ lkgc A&jk'V foHkkx izeq[k dy fjVk;j gq, vkt fQj Ts dEiuh esa fo’ks'k izeq[k ds :Ig izeks’ku gqvk u lj A czkap gsM&izeks’ lkgc A& tks jkr fnu dke dj jgs gS]vPNs IkwBh gS A D;qx esa vkneh iRFk gS \ lykg dSyk’k&vjs jftUnj rsjs psgjs ls Fkdku >yd jgh gS Ah D;k\ jftUnj&h \ dSyk’k&gka HkkbZ csVh cM+h gS \ fpUrk rks gksxh gh A jftUnj&csVh ds C;kg dh ugh ckr dqN vkSj gS A dSyk’k& D;k ckr gS \ jftUnj&esjk csVs dks yxrk gS mlds lkFk vU;k; gks jgk gS A dSyk’k&d;k \ dkSu ls csVs dks -----jftUnj&chp okys dks A dSyk’k& nks gh gS uk rhljk dkSk A dksbZ ckgj okyh gS D;k \ jftUnj&kj A HkkbZ dk csVk gS Apyuk Hkh ugh lh[kk Fkk rc ls lkFk gS ?kjokyh ds R;kx ls A vc vV~Bkjg lkk gS nksLrksa ds cgdkos e esa D;k&D;k d:a\ mldh cM+h cM+h [okfg’ks dSls iwjh d:a A cPpksa ds lkFk Hkrhts ds mTtoy Hkfo'; dk esjk liuk gS vkSgh fpUrk Hkh A dSyk’k&viuksa ds lkFk HkkbZ ds cPps ds Hkfo'; dk HkkxhjFkl blds ckn Hs gkyA ftl Mky ij cSBk gS ogh dkV dj jgk gS A dSls Hkfo'; cusxk A jftUnj&HkkbZ dk dksbZ iq[rk lkzsr ugh gSA HkkbZ] ?kj&ifjokj lc gesa ns[kuk gSA bruh cM+h ftEesnkj viuk ifjokj A dSyk’k&[kkunku lq/kkjus dk chM+k mBk;k gS rks viuh gSr ds vuqlkj djksAka rks mBsxh tgka rd gks lds viuh Nkao nks ij nksLr fpUrk dh fprk esa [kqn uk lqyxks A ;gh esjh lykg gS rqedksA osfVax fVdV
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